Greatest Common Factor of 264/56, 8628/134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 264/56, 8628/134

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 264/56,8628/134

Given fractions are 264/56,8628/134

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 264,8628

Greatest Common Factor of Numerators i.e. GCF of 264,8628 is 12 .

LCM of Denominators means LCM of 56,134 as per the given fractions.

LCM of 56,134 is 3752 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 264,8628

GCF of Fractions 264/56,8628/134 is 12/3752

2 264, 8628
2 132, 4314
3 66, 2157
22, 719

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

Greatest Common Factor of 264,8628 By Matching Biggest Common Factor Method

Greatest Common Factor of 264,8628 By Matching Biggest Common Factor Method

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Factors of 8628

List of positive integer factors of 8628 that divides 8628 without a remainder.

1,2,3,4,6,12,719,1438,2157,2876,4314,8628

Greatest Common Factor

We found the factors 264,8628 . The biggest common factor number is the GCF number.
So the greatest common factor 264,8628 is 12.

Lets's calculate LCM of 56,134

2 56, 134
28, 67

∴ So the LCM of the given numbers is 2 x 28 x 67 = 3752

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/3752

Therefore, the GCF of Fractions 264/56,8628/134 is 12/3752

Least Common Multiple of 56,134 with GCF Formula

Least Common Multiple of 56,134 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 56,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,134) = 2

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

GCF(56,134) x common factors =2 x 1 = 2

LCM(56,134) = ( 56 × 134 ) / 2

LCM(56,134) = 7504 / 2

LCM(56,134) = 3752


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 264/56, 8628/134

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 264/56, 8628/134?

Answer: GCF of Numerators as per given numbers 264/56, 8628/134 is

GCF of Numerators i.e. for 264,8628 is 12

LCM of denominators i.e. for 56,134 is 3752.

Thus, GCF of Fractions is 12/3752.Finally, GCF of Fractions for 264/56, 8628/134 is 12/3752.