Greatest Common Factor of 8538/756, 9333/908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8538/756, 9333/908

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 8538/756,9333/908

Given fractions are 8538/756,9333/908

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 8538,9333

Greatest Common Factor of Numerators i.e. GCF of 8538,9333 is 3 .

LCM of Denominators means LCM of 756,908 as per the given fractions.

LCM of 756,908 is 171612 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8538,9333

GCF of Fractions 8538/756,9333/908 is 3/171612

3 8538, 9333
2846, 3111

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 8538,9333 By Matching Biggest Common Factor Method

Greatest Common Factor of 8538,9333 By Matching Biggest Common Factor Method

Factors of 8538

List of positive integer factors of 8538 that divides 8538 without a remainder.

1,2,3,6,1423,2846,4269,8538

Factors of 9333

List of positive integer factors of 9333 that divides 9333 without a remainder.

1,3,9,17,51,61,153,183,549,1037,3111,9333

Greatest Common Factor

We found the factors 8538,9333 . The biggest common factor number is the GCF number.
So the greatest common factor 8538,9333 is 3.

Lets's calculate LCM of 756,908

2 756, 908
2 378, 454
189, 227

∴ So the LCM of the given numbers is 2 x 2 x 189 x 227 = 171612

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/171612

Therefore, the GCF of Fractions 8538/756,9333/908 is 3/171612

Least Common Multiple of 756,908 with GCF Formula

Least Common Multiple of 756,908 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 756,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(756,908) = 4

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

GCF(756,908) x common factors =4 x 1 = 4

LCM(756,908) = ( 756 × 908 ) / 4

LCM(756,908) = 686448 / 4

LCM(756,908) = 171612


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 8538/756, 9333/908

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 8538/756, 9333/908?

Answer: GCF of Numerators as per given numbers 8538/756, 9333/908 is

GCF of Numerators i.e. for 8538,9333 is 3

LCM of denominators i.e. for 756,908 is 171612.

Thus, GCF of Fractions is 3/171612.Finally, GCF of Fractions for 8538/756, 9333/908 is 3/171612.