 # Question: What Is The Difference Between GCF And HCF?

## What is the GCF of 3 and 4?

We found the factors and prime factorization of 3 and 4. The biggest common factor number is the GCF number. So the greatest common factor 3 and 4 is 1.

## How do you find the HCF of 3 numbers?

To find out HCF of three given numbers using division method, Step 1: Find out HCF of any two numbers. Step 2: Find out the HCF of the third number and the HCF obtained in step 1. Step 3: HCF obtained in step 2 will be the HCF of the three numbers.

## What is the GCF of 3 and 6?

The prime factors and multiplicities 3 and 6 have in common are: 3. 3 is the gcf of 3 and 6. gcf(3,6) = 3.

## Is HCF and GCF the same thing?

In greatest common factor (G.C.F)or highest common factor (H.C.F) or greatest common divisor (G.C.D), we know that there is no difference between them. 1. … Therefore, common factor of 96 and 64 = 1, 2, 4,8, 16 and 32. Greatest common factor (G.C.F) of 96 and 64 = 32.

## What is difference between GCD and HCF?

GCD (Greatest Common Divisor) or HCF (Highest Common Factor) of two numbers is the largest number that divides both of them. For example GCD of 20 and 28 is 4 and GCD of 98 and 56 is 14.

## How do you find the GCF?

To find the GCF of two numbers: List the prime factors of each number. Multiply those factors both numbers have in common. If there are no common prime factors, the GCF is 1.

## What is the HCF of 63?

63 = 3*21 = 3*3*7. Looking at the factors, 32 has only 2s as prime factors, and 63 is odd and does not have 2 as a factor. Thus their HCF is 1.

## Why We Use HCF in real life?

In other words if you have a set of numbers like 14, 21 and 28, the HCF will be 7 because 7 is the highest number that can divide all three without a remainder in every case. The HCF is useful to reduce a fraction to its simplest form.

## Where is HCF used?

1) To split things into smaller sections. 2) To equally distribute 2 or more sets of items into their largest grouping.

## What is the GCF of 12 and 18?

In terms of numbers, the greatest common factor (gcf) is the largest natural number that exactly divides two or more given natural numbers. Example 1: 6 is the greatest common factor of 12 and 18.

## What is the HCF of 27 and 63?

Greatest common factor (GCF) of 27 and 63 is 9. We will now calculate the prime factors of 27 and 63, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27 and 63.

## What is the HCF of 24 32?

8Answer. Thus, the highest common factor of 24 and 32 is 8. Hence, HCF of 24 and 32= 8.

## Why do we calculate HCF?

In case of HCF, if some remainders are given, then firstly those remainders are subtracted from the numbers given and then their HCF is calculated. … Sometimes in case of HCF questions, the required remainder is given and when the remainder is not given, in those cases you will generally have three numbers given.

## What is the HCF of 84?

factors of 84 =1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84. factors of 105 =1, 3, 5, 7, 15, 21, 35, 105. we find 7 is the highest factor. hence HCF of 84 and 105 is 7.