Greatest Common Factor of 540/264, 7152/646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 540/264, 7152/646

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 540/264,7152/646

Given fractions are 540/264,7152/646

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 540,7152

Greatest Common Factor of Numerators i.e. GCF of 540,7152 is 12 .

LCM of Denominators means LCM of 264,646 as per the given fractions.

LCM of 264,646 is 85272 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 540,7152

GCF of Fractions 540/264,7152/646 is 12/85272

2 540, 7152
2 270, 3576
3 135, 1788
45, 596

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

Greatest Common Factor of 540,7152 By Matching Biggest Common Factor Method

Greatest Common Factor of 540,7152 By Matching Biggest Common Factor Method

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 7152

List of positive integer factors of 7152 that divides 7152 without a remainder.

1,2,3,4,6,8,12,16,24,48,149,298,447,596,894,1192,1788,2384,3576,7152

Greatest Common Factor

We found the factors 540,7152 . The biggest common factor number is the GCF number.
So the greatest common factor 540,7152 is 12.

Lets's calculate LCM of 264,646

2 264, 646
132, 323

∴ So the LCM of the given numbers is 2 x 132 x 323 = 85272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/85272

Therefore, the GCF of Fractions 540/264,7152/646 is 12/85272

Least Common Multiple of 264,646 with GCF Formula

Least Common Multiple of 264,646 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 264,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(264,646) = 2

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

GCF(264,646) x common factors =2 x 1 = 2

LCM(264,646) = ( 264 × 646 ) / 2

LCM(264,646) = 170544 / 2

LCM(264,646) = 85272


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 540/264, 7152/646

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 540/264, 7152/646?

Answer: GCF of Numerators as per given numbers 540/264, 7152/646 is

GCF of Numerators i.e. for 540,7152 is 12

LCM of denominators i.e. for 264,646 is 85272.

Thus, GCF of Fractions is 12/85272.Finally, GCF of Fractions for 540/264, 7152/646 is 12/85272.