Greatest Common Factor of 8963/132, 7321/5647

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8963/132, 7321/5647

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 8963/132,7321/5647

Given fractions are 8963/132,7321/5647

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 8963,7321

Greatest Common Factor of Numerators i.e. GCF of 8963,7321 is 1 .

LCM of Denominators means LCM of 132,5647 as per the given fractions.

LCM of 132,5647 is 745404 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8963,7321

GCF of Fractions 8963/132,7321/5647 is 1/745404

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8963,7321 By Matching Biggest Common Factor Method

Greatest Common Factor of 8963,7321 By Matching Biggest Common Factor Method

Factors of 8963

List of positive integer factors of 8963 that divides 8963 without a remainder.

1,8963

Factors of 7321

List of positive integer factors of 7321 that divides 7321 without a remainder.

1,7321

Greatest Common Factor

We found the factors 8963,7321 . The biggest common factor number is the GCF number.
So the greatest common factor 8963,7321 is 1.

Lets's calculate LCM of 132,5647

Given numbers has no common factors except 1. So, there LCM is their product i.e 745404

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/745404

Therefore, the GCF of Fractions 8963/132,7321/5647 is 1/745404

Least Common Multiple of 132,5647 with GCF Formula

Least Common Multiple of 132,5647 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 132,5647 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(132,5647) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(132,5647) x common factors =1 x 1 = 1

LCM(132,5647) = ( 132 × 5647 ) / 1

LCM(132,5647) = 745404 / 1

LCM(132,5647) = 745404


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 8963/132, 7321/5647

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 8963/132, 7321/5647?

Answer: GCF of Numerators as per given numbers 8963/132, 7321/5647 is

GCF of Numerators i.e. for 8963,7321 is 1

LCM of denominators i.e. for 132,5647 is 745404.

Thus, GCF of Fractions is 1/745404.Finally, GCF of Fractions for 8963/132, 7321/5647 is 1/745404.