## Greatest Common Factor Of 18 And 20

**Greatest Common Factor Of 18 And 20** – 2 GCF (Greatest Common Factor) is the largest factor that can be divided into numerator and denominator. A fraction is in its simplest form when the GCF of the numerator and denominator is 1. Follow these steps: Step 1: Find the GCF of 8 and 12 Factors of 8 – 1, 2, 4, 8 Factors of , 2, 3, 4, 6 , 12 GCF is Step 2: Divide numerator and denominator by GCF. 8 ÷ 12 ÷ GCF of 2 & 3 is 1. = Record these steps in your journal.

Find the GCF for each of these fractions and then express them in SIMPLE FORM. Use the two step process and remember to think!!! Do this in your journal —>

## Greatest Common Factor Of 18 And 20

15: 1, 3, 5, 15 16: 1, 2, 4, 8, 16 32: 1, 2, 4, 8, 16, 32 30: 1, 2, 3, 5, 6, 10, 15, 30 40: 1, 2, 4, 5, 8, 10, 20, 40 18: 1, 2, 3, 6, 9, 18 45: 1, 3, 5, 9, 15, 45 GCF: 3 STEP 1 GCF: 16 GCF: 10 GCF: 9 Write this in your journal Go to step >

### What Is A Common Factor?

12 ÷ 3 = 15 ÷ 3 = 16 ÷ 16 = 32 ÷ 16 = 30 ÷ 10 = 40 ÷ 10 = 18 ÷ 9 = 45 ÷ 9 = Simplest form STEP 2 Simplest form Simplest form Is this form the Simplest form? Check your answers >

12 = = 5 16 = = 2 30 = = 4 18 = = 5 Check Your Answers FINAL ANSWER Simply fantastic!!

In order for this website to function, we record user data and share it with processors. To use this website, you must agree to our privacy policy, including our cookie policy. The greatest common factor (HCF) of two numbers is the largest possible number that completely divides both numbers. The greatest common divisor (HCF) is also known as the greatest common divisor (GCD).

There are many ways to find the HCF of two numbers. One of the fastest ways to find the HCF of two or more numbers is to use the prime factorization method. Explore the world of HCF with its various aspects and functions. Find answers to questions like greatest common factor for a group of numbers, easy ways to calculate HCF, HCF by division method, its relationship to LCM and learn more interesting facts about it.

## How To Find Greatest Common Factors

The HCF (Highest Common Factor) of two or more numbers is the greatest number of all the common factors of the given numbers. Simply put, the HCF (highest common factor) of two natural numbers x and y is the largest possible number that divides both x and y. Let’s understand this definition with two numbers, 18 and 27. The common divisors of 18 and 27 are 1, 3, and 9. Of these numbers, 9 is the highest (greatest) number. So the HCF of 18 and 27 is 9. This is written as: HCF(18, 27) = 9. To understand this concept, see the following figure.

There are several ways to find the greatest common divisor of given numbers. Regardless of the method, the answer to the HCF of the numbers would always be the same. There are 3 methods to calculate the HCF of two numbers:

In this method, we list the factors of each number and find the common factors of these numbers. Then we determine the highest common factor among the common factors. Let us understand this method with the help of an example.

Solution: We call the factors 30 and 42. The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30, and the factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42. Obviously, 1, 2, 3, and 6 are common divisors of 30 and 42. But 6 is the greatest of all common divisors. Therefore the HCF of 30 and 42 is 6.

#### Mathpower 2 6 Greatest Common Factor 2 7 Lowest Common Multiple

To find HCF numbers using the prime factorization method, we use the following steps. Let us understand this method with the help of below example.

Solution: Prime factors of 60 = 2 × 2 × 3 × 5; and the prime factors of 90 = 2 × 3 × 3 × 5. Now the HCF of 60 and 90 will be the product of the common prime factors which are 2, 3 and 5. So the HCF of 60 and 90 = 2 × 3 × 5 = 30

The HCF of two numbers can be calculated using the division method. Let’s understand this with the following steps and example below.

The method for finding the HCF of several numbers is the same if we use the ‘list factor method’ and the ‘prime factorization method’. However, when using the division method, there is a minor change in the case of multiple numbers. Let’s learn how to find the HCF of three numbers using the division method.

### Common Multiples — Definition & Examples

To find the HCF of three numbers, we use the following procedure. Let’s understand this with below steps and example.

Solution: First we find the HCF of the two numbers 126 and 180. The HCF of 126 and 180 = 18. Then we find the HCF of the third number which is 162 and the HCF of the two numbers obtained in the previous step. , i.e. 18. This gives the final HCF of all three numbers.

We know that a prime number has only two factors, 1 and the number itself. Let’s look at the two prime numbers 2 and 7 and find their HCF by listing their factors. Factors 2 = 1, 2; and the factors of 7 = 1, 7. We can see that the only common divisor of 2 and 7 is 1. Therefore, the HCF of prime numbers is always equal to 1.

We already know that the HCF of a and b is the greatest common divisor of a and b. Let’s take a look at the important features of HCF:

### Prime Factorization (factor Trees) Greatest Common Factor

The HCF of two or more numbers is the greatest common divisor of the given numbers. It is found by multiplying the common prime factors of the given numbers. Whereas Least Common Multiple (LCM) of two or more numbers is the smallest number among all the common multiples of the given numbers.

Assume ‘a’ and ‘b’ are numbers. Therefore, the formula expressing the relationship between their LCM and HCF is given as:

Solution: HCF 6 and 8 = 2; LCM of 6 and 8 = 24; The product of the two given numbers is 6 × 8 = 48. So we replace these values with a formula that explains the relationship between the LCM and HCF of the two numbers. Substituting the values into the formula, LCM (a, b) × HCF (a, b) = a × b gives 24 × 2 = 48.

The HCF (Highest Common Factor) of two numbers is the greatest number of all the common factors of the given numbers. For example, the HCF of 12 and 36 is 12 because 12 is the greatest common factor of 12 and 36.

#### Find Greatest Common Factor (examples, Solutions, Videos, Worksheets, Activities)

These methods are explained in detail with examples in How do I find HCF? on this page.

The Least Common Multiple (LCM) of two or more numbers is the smallest number of all common multiples of the given numbers, and the HCF (Greatest Common Divisor) of two or more numbers is the greatest number of all common divisors of the given numbers.

The formula expressing the relationship between the least common multiple (LCM) and the HCF is given as: LCM(a, b) × HCF(a, b) = a × b; where ‘a’ and ‘b’ are numbers.

The HCF of two consecutive natural numbers is 1. This is because there is no common divisor between two consecutive numbers except 1. Therefore, 1 is always the HCF between two consecutive numbers.

#### Solved Find The Greatest Common Factor \( (g C F) \) And The

Coprimes are those numbers whose common divisor is only 1. They do not necessarily have to be prime numbers. For example (4 and 7) and (8 and 15) are prime numbers. Since coprime numbers have only 1 as their highest common divisor, their HCF is always 1.

The HCF of two consecutive even numbers is always 2. We know that the HCF (highest common factor) of two or more numbers is the greatest number of all common divisors of a given set of numbers. For example, the HCF of 6 and 8 is 2, the HCF of 14 and 16 is also 2.

We use the following steps to find the HCF of three numbers. Let’s find HCF 4, 6 and 8 to understand the steps.

To find HCF numbers by prime factorization, we use the following steps. For example, let’s find HCF 24 and 36.

## Solved] Common Factor Drag Each Pair Of Numbers To Show If Their Greatest…

HCF is important because it is

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