Greatest Common Factor of 516/562, 6844/8740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 516/562, 6844/8740

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 516/562,6844/8740

Given fractions are 516/562,6844/8740

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 516,6844

Greatest Common Factor of Numerators i.e. GCF of 516,6844 is 4 .

LCM of Denominators means LCM of 562,8740 as per the given fractions.

LCM of 562,8740 is 2455940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 516,6844

GCF of Fractions 516/562,6844/8740 is 4/2455940

2 516, 6844
2 258, 3422
129, 1711

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

Greatest Common Factor of 516,6844 By Matching Biggest Common Factor Method

Greatest Common Factor of 516,6844 By Matching Biggest Common Factor Method

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Factors of 6844

List of positive integer factors of 6844 that divides 6844 without a remainder.

1,2,4,29,58,59,116,118,236,1711,3422,6844

Greatest Common Factor

We found the factors 516,6844 . The biggest common factor number is the GCF number.
So the greatest common factor 516,6844 is 4.

Lets's calculate LCM of 562,8740

2 562, 8740
281, 4370

∴ So the LCM of the given numbers is 2 x 281 x 4370 = 2455940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2455940

Therefore, the GCF of Fractions 516/562,6844/8740 is 4/2455940

Least Common Multiple of 562,8740 with GCF Formula

Least Common Multiple of 562,8740 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 562,8740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(562,8740) = 2

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

GCF(562,8740) x common factors =2 x 1 = 2

LCM(562,8740) = ( 562 × 8740 ) / 2

LCM(562,8740) = 4911880 / 2

LCM(562,8740) = 2455940


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 516/562, 6844/8740

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 516/562, 6844/8740?

Answer: GCF of Numerators as per given numbers 516/562, 6844/8740 is

GCF of Numerators i.e. for 516,6844 is 4

LCM of denominators i.e. for 562,8740 is 2455940.

Thus, GCF of Fractions is 4/2455940.Finally, GCF of Fractions for 516/562, 6844/8740 is 4/2455940.