Greatest Common Factor of 7744/948, 8356/9528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7744/948, 8356/9528

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 7744/948,8356/9528

Given fractions are 7744/948,8356/9528

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 7744,8356

Greatest Common Factor of Numerators i.e. GCF of 7744,8356 is 4 .

LCM of Denominators means LCM of 948,9528 as per the given fractions.

LCM of 948,9528 is 752712 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7744,8356

GCF of Fractions 7744/948,8356/9528 is 4/752712

2 7744, 8356
2 3872, 4178
1936, 2089

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 7744,8356 By Matching Biggest Common Factor Method

Greatest Common Factor of 7744,8356 By Matching Biggest Common Factor Method

Factors of 7744

List of positive integer factors of 7744 that divides 7744 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,121,176,242,352,484,704,968,1936,3872,7744

Factors of 8356

List of positive integer factors of 8356 that divides 8356 without a remainder.

1,2,4,2089,4178,8356

Greatest Common Factor

We found the factors 7744,8356 . The biggest common factor number is the GCF number.
So the greatest common factor 7744,8356 is 4.

Lets's calculate LCM of 948,9528

2 948, 9528
2 474, 4764
3 237, 2382
79, 794

∴ So the LCM of the given numbers is 2 x 2 x 3 x 79 x 794 = 752712

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/752712

Therefore, the GCF of Fractions 7744/948,8356/9528 is 4/752712

Least Common Multiple of 948,9528 with GCF Formula

Least Common Multiple of 948,9528 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 948,9528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(948,9528) = 12

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

GCF(948,9528) x common factors =12 x 1 = 12

LCM(948,9528) = ( 948 × 9528 ) / 12

LCM(948,9528) = 9032544 / 12

LCM(948,9528) = 752712


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 7744/948, 8356/9528

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 7744/948, 8356/9528?

Answer: GCF of Numerators as per given numbers 7744/948, 8356/9528 is

GCF of Numerators i.e. for 7744,8356 is 4

LCM of denominators i.e. for 948,9528 is 752712.

Thus, GCF of Fractions is 4/752712.Finally, GCF of Fractions for 7744/948, 8356/9528 is 4/752712.