Greatest Common Factor of 6516/862, 3564/176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6516/862, 3564/176

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 6516/862,3564/176

Given fractions are 6516/862,3564/176

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 6516,3564

Greatest Common Factor of Numerators i.e. GCF of 6516,3564 is 36 .

LCM of Denominators means LCM of 862,176 as per the given fractions.

LCM of 862,176 is 75856 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6516,3564

GCF of Fractions 6516/862,3564/176 is 36/75856

2 6516, 3564
2 3258, 1782
3 1629, 891
3 543, 297
181, 99

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36

Greatest Common Factor of 6516,3564 By Matching Biggest Common Factor Method

Greatest Common Factor of 6516,3564 By Matching Biggest Common Factor Method

Factors of 6516

List of positive integer factors of 6516 that divides 6516 without a remainder.

1,2,3,4,6,9,12,18,36,181,362,543,724,1086,1629,2172,3258,6516

Factors of 3564

List of positive integer factors of 3564 that divides 3564 without a remainder.

1,2,3,4,6,9,11,12,18,22,27,33,36,44,54,66,81,99,108,132,162,198,297,324,396,594,891,1188,1782,3564

Greatest Common Factor

We found the factors 6516,3564 . The biggest common factor number is the GCF number.
So the greatest common factor 6516,3564 is 36.

Lets's calculate LCM of 862,176

2 862, 176
431, 88

∴ So the LCM of the given numbers is 2 x 431 x 88 = 75856

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/75856

Therefore, the GCF of Fractions 6516/862,3564/176 is 36/75856

Least Common Multiple of 862,176 with GCF Formula

Least Common Multiple of 862,176 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 862,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(862,176) = 2

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

GCF(862,176) x common factors =2 x 1 = 2

LCM(862,176) = ( 862 × 176 ) / 2

LCM(862,176) = 151712 / 2

LCM(862,176) = 75856


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 6516/862, 3564/176

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 6516/862, 3564/176?

Answer: GCF of Numerators as per given numbers 6516/862, 3564/176 is

GCF of Numerators i.e. for 6516,3564 is 36

LCM of denominators i.e. for 862,176 is 75856.

Thus, GCF of Fractions is 36/75856.Finally, GCF of Fractions for 6516/862, 3564/176 is 36/75856.