Greatest Common Factor of 516/278, 5916/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 516/278, 5916/146

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 516/278,5916/146

Given fractions are 516/278,5916/146

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 516,5916

Greatest Common Factor of Numerators i.e. GCF of 516,5916 is 12 .

LCM of Denominators means LCM of 278,146 as per the given fractions.

LCM of 278,146 is 20294 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 516,5916

GCF of Fractions 516/278,5916/146 is 12/20294

2 516, 5916
2 258, 2958
3 129, 1479
43, 493

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 516,5916 By Matching Biggest Common Factor Method

Greatest Common Factor of 516,5916 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 5916

List of positive integer factors of 5916 that divides 5916 without a remainder.

1,2,3,4,6,12,17,29,34,51,58,68,87,102,116,174,204,348,493,986,1479,1972,2958,5916

Greatest Common Factor

We found the factors 516,5916 . The biggest common factor number is the GCF number.
So the greatest common factor 516,5916 is 12.

Lets's calculate LCM of 278,146

2 278, 146
139, 73

∴ So the LCM of the given numbers is 2 x 139 x 73 = 20294

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/20294

Therefore, the GCF of Fractions 516/278,5916/146 is 12/20294

Least Common Multiple of 278,146 with GCF Formula

Least Common Multiple of 278,146 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 278,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(278,146) = 2

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

GCF(278,146) x common factors =2 x 1 = 2

LCM(278,146) = ( 278 × 146 ) / 2

LCM(278,146) = 40588 / 2

LCM(278,146) = 20294


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 516/278, 5916/146

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 516/278, 5916/146?

Answer: GCF of Numerators as per given numbers 516/278, 5916/146 is

GCF of Numerators i.e. for 516,5916 is 12

LCM of denominators i.e. for 278,146 is 20294.

Thus, GCF of Fractions is 12/20294.Finally, GCF of Fractions for 516/278, 5916/146 is 12/20294.