Greatest Common Factor of 8538/540, 6656/1917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8538/540, 6656/1917

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 8538/540,6656/1917

Given fractions are 8538/540,6656/1917

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 8538,6656

Greatest Common Factor of Numerators i.e. GCF of 8538,6656 is 2 .

LCM of Denominators means LCM of 540,1917 as per the given fractions.

LCM of 540,1917 is 38340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8538,6656

GCF of Fractions 8538/540,6656/1917 is 2/38340

2 8538, 6656
4269, 3328

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

Greatest Common Factor of 8538,6656 By Matching Biggest Common Factor Method

Greatest Common Factor of 8538,6656 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 6656

List of positive integer factors of 6656 that divides 6656 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,128,208,256,416,512,832,1664,3328,6656

Greatest Common Factor

We found the factors 8538,6656 . The biggest common factor number is the GCF number.
So the greatest common factor 8538,6656 is 2.

Lets's calculate LCM of 540,1917

3 540, 1917
3 180, 639
3 60, 213
20, 71

∴ So the LCM of the given numbers is 3 x 3 x 3 x 20 x 71 = 38340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/38340

Therefore, the GCF of Fractions 8538/540,6656/1917 is 2/38340

Least Common Multiple of 540,1917 with GCF Formula

Least Common Multiple of 540,1917 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 540,1917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(540,1917) = 27

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

GCF(540,1917) x common factors =27 x 1 = 27

LCM(540,1917) = ( 540 × 1917 ) / 27

LCM(540,1917) = 1035180 / 27

LCM(540,1917) = 38340


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 8538/540, 6656/1917

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 8538/540, 6656/1917?

Answer: GCF of Numerators as per given numbers 8538/540, 6656/1917 is

GCF of Numerators i.e. for 8538,6656 is 2

LCM of denominators i.e. for 540,1917 is 38340.

Thus, GCF of Fractions is 2/38340.Finally, GCF of Fractions for 8538/540, 6656/1917 is 2/38340.