Greatest Common Factor of 468/60, 5096/156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 468/60, 5096/156

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 468/60,5096/156

Given fractions are 468/60,5096/156

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 468,5096

Greatest Common Factor of Numerators i.e. GCF of 468,5096 is 52 .

LCM of Denominators means LCM of 60,156 as per the given fractions.

LCM of 60,156 is 780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 468,5096

GCF of Fractions 468/60,5096/156 is 52/780

2 468, 5096
2 234, 2548
13 117, 1274
9, 98

∴ So the GCF of the given numbers is 2 x 2 x 13 = 52

Greatest Common Factor of 468,5096 By Matching Biggest Common Factor Method

Greatest Common Factor of 468,5096 By Matching Biggest Common Factor Method

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 5096

List of positive integer factors of 5096 that divides 5096 without a remainder.

1,2,4,7,8,13,14,26,28,49,52,56,91,98,104,182,196,364,392,637,728,1274,2548,5096

Greatest Common Factor

We found the factors 468,5096 . The biggest common factor number is the GCF number.
So the greatest common factor 468,5096 is 52.

Lets's calculate LCM of 60,156

2 60, 156
2 30, 78
3 15, 39
5, 13

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 13 = 780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 52/780

Therefore, the GCF of Fractions 468/60,5096/156 is 52/780

Least Common Multiple of 60,156 with GCF Formula

Least Common Multiple of 60,156 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 60,156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,156) = 12

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

GCF(60,156) x common factors =12 x 1 = 12

LCM(60,156) = ( 60 × 156 ) / 12

LCM(60,156) = 9360 / 12

LCM(60,156) = 780


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 468/60, 5096/156

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 468/60, 5096/156?

Answer: GCF of Numerators as per given numbers 468/60, 5096/156 is

GCF of Numerators i.e. for 468,5096 is 52

LCM of denominators i.e. for 60,156 is 780.

Thus, GCF of Fractions is 52/780.Finally, GCF of Fractions for 468/60, 5096/156 is 52/780.