Greatest Common Factor of 5694/516, 8135/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5694/516, 8135/516

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 5694/516,8135/516

Given fractions are 5694/516,8135/516

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 5694,8135

Greatest Common Factor of Numerators i.e. GCF of 5694,8135 is 1 .

LCM of Denominators means LCM of 516,516 as per the given fractions.

LCM of 516,516 is 516 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5694,8135

GCF of Fractions 5694/516,8135/516 is 1/516

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5694,8135 By Matching Biggest Common Factor Method

Greatest Common Factor of 5694,8135 By Matching Biggest Common Factor Method

Factors of 5694

List of positive integer factors of 5694 that divides 5694 without a remainder.

1,2,3,6,13,26,39,73,78,146,219,438,949,1898,2847,5694

Factors of 8135

List of positive integer factors of 8135 that divides 8135 without a remainder.

1,5,1627,8135

Greatest Common Factor

We found the factors 5694,8135 . The biggest common factor number is the GCF number.
So the greatest common factor 5694,8135 is 1.

Lets's calculate LCM of 516,516

2 516, 516
2 258, 258
3 129, 129
43 43, 43
1, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 43 x 1 x 1 = 516

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/516

Therefore, the GCF of Fractions 5694/516,8135/516 is 1/516

Least Common Multiple of 516,516 with GCF Formula

Least Common Multiple of 516,516 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 516,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(516,516) = 516

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

GCF(516,516) x common factors =516 x 1 = 516

LCM(516,516) = ( 516 × 516 ) / 516

LCM(516,516) = 266256 / 516

LCM(516,516) = 516


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 5694/516, 8135/516

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 5694/516, 8135/516?

Answer: GCF of Numerators as per given numbers 5694/516, 8135/516 is

GCF of Numerators i.e. for 5694,8135 is 1

LCM of denominators i.e. for 516,516 is 516.

Thus, GCF of Fractions is 1/516.Finally, GCF of Fractions for 5694/516, 8135/516 is 1/516.