Greatest Common Factor of 9524/772, 5386/5317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9524/772, 5386/5317

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 9524/772,5386/5317

Given fractions are 9524/772,5386/5317

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 9524,5386

Greatest Common Factor of Numerators i.e. GCF of 9524,5386 is 2 .

LCM of Denominators means LCM of 772,5317 as per the given fractions.

LCM of 772,5317 is 4104724 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9524,5386

GCF of Fractions 9524/772,5386/5317 is 2/4104724

2 9524, 5386
4762, 2693

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9524,5386 By Matching Biggest Common Factor Method

Greatest Common Factor of 9524,5386 By Matching Biggest Common Factor Method

Factors of 9524

List of positive integer factors of 9524 that divides 9524 without a remainder.

1,2,4,2381,4762,9524

Factors of 5386

List of positive integer factors of 5386 that divides 5386 without a remainder.

1,2,2693,5386

Greatest Common Factor

We found the factors 9524,5386 . The biggest common factor number is the GCF number.
So the greatest common factor 9524,5386 is 2.

Lets's calculate LCM of 772,5317

Given numbers has no common factors except 1. So, there LCM is their product i.e 4104724

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4104724

Therefore, the GCF of Fractions 9524/772,5386/5317 is 2/4104724

Least Common Multiple of 772,5317 with GCF Formula

Least Common Multiple of 772,5317 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 772,5317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(772,5317) = 1

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

GCF(772,5317) x common factors =1 x 1 = 1

LCM(772,5317) = ( 772 × 5317 ) / 1

LCM(772,5317) = 4104724 / 1

LCM(772,5317) = 4104724


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 9524/772, 5386/5317

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 9524/772, 5386/5317?

Answer: GCF of Numerators as per given numbers 9524/772, 5386/5317 is

GCF of Numerators i.e. for 9524,5386 is 2

LCM of denominators i.e. for 772,5317 is 4104724.

Thus, GCF of Fractions is 2/4104724.Finally, GCF of Fractions for 9524/772, 5386/5317 is 2/4104724.