Greatest Common Factor of 708/512, 264/429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 708/512, 264/429

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 708/512,264/429

Given fractions are 708/512,264/429

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 708,264

Greatest Common Factor of Numerators i.e. GCF of 708,264 is 12 .

LCM of Denominators means LCM of 512,429 as per the given fractions.

LCM of 512,429 is 219648 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 708,264

GCF of Fractions 708/512,264/429 is 12/219648

2 708, 264
2 354, 132
3 177, 66
59, 22

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

Greatest Common Factor of 708,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 708,264 By Matching Biggest Common Factor Method

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

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

Greatest Common Factor

We found the factors 708,264 . The biggest common factor number is the GCF number.
So the greatest common factor 708,264 is 12.

Lets's calculate LCM of 512,429

Given numbers has no common factors except 1. So, there LCM is their product i.e 219648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/219648

Therefore, the GCF of Fractions 708/512,264/429 is 12/219648

Least Common Multiple of 512,429 with GCF Formula

Least Common Multiple of 512,429 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 512,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,429) = 1

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

GCF(512,429) x common factors =1 x 1 = 1

LCM(512,429) = ( 512 × 429 ) / 1

LCM(512,429) = 219648 / 1

LCM(512,429) = 219648


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 708/512, 264/429

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 708/512, 264/429?

Answer: GCF of Numerators as per given numbers 708/512, 264/429 is

GCF of Numerators i.e. for 708,264 is 12

LCM of denominators i.e. for 512,429 is 219648.

Thus, GCF of Fractions is 12/219648.Finally, GCF of Fractions for 708/512, 264/429 is 12/219648.