Greatest Common Factor of 516/68, 120/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 516/68, 120/132

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 516/68,120/132

Given fractions are 516/68,120/132

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 516,120

Greatest Common Factor of Numerators i.e. GCF of 516,120 is 12 .

LCM of Denominators means LCM of 68,132 as per the given fractions.

LCM of 68,132 is 2244 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 516,120

GCF of Fractions 516/68,120/132 is 12/2244

2 516, 120
2 258, 60
3 129, 30
43, 10

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

Greatest Common Factor of 516,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 516,120 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 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 516,120 . The biggest common factor number is the GCF number.
So the greatest common factor 516,120 is 12.

Lets's calculate LCM of 68,132

2 68, 132
2 34, 66
17, 33

∴ So the LCM of the given numbers is 2 x 2 x 17 x 33 = 2244

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/2244

Therefore, the GCF of Fractions 516/68,120/132 is 12/2244

Least Common Multiple of 68,132 with GCF Formula

Least Common Multiple of 68,132 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 68,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,132) = 4

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

GCF(68,132) x common factors =4 x 1 = 4

LCM(68,132) = ( 68 × 132 ) / 4

LCM(68,132) = 8976 / 4

LCM(68,132) = 2244


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 516/68, 120/132

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 516/68, 120/132?

Answer: GCF of Numerators as per given numbers 516/68, 120/132 is

GCF of Numerators i.e. for 516,120 is 12

LCM of denominators i.e. for 68,132 is 2244.

Thus, GCF of Fractions is 12/2244.Finally, GCF of Fractions for 516/68, 120/132 is 12/2244.