Greatest Common Factor of 426/279, 2560/864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 426/279, 2560/864

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 426/279,2560/864

Given fractions are 426/279,2560/864

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 426,2560

Greatest Common Factor of Numerators i.e. GCF of 426,2560 is 2 .

LCM of Denominators means LCM of 279,864 as per the given fractions.

LCM of 279,864 is 26784 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 426,2560

GCF of Fractions 426/279,2560/864 is 2/26784

2 426, 2560
213, 1280

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 426,2560 By Matching Biggest Common Factor Method

Greatest Common Factor of 426,2560 By Matching Biggest Common Factor Method

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Factors of 2560

List of positive integer factors of 2560 that divides 2560 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,256,320,512,640,1280,2560

Greatest Common Factor

We found the factors 426,2560 . The biggest common factor number is the GCF number.
So the greatest common factor 426,2560 is 2.

Lets's calculate LCM of 279,864

3 279, 864
3 93, 288
31, 96

∴ So the LCM of the given numbers is 3 x 3 x 31 x 96 = 26784

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/26784

Therefore, the GCF of Fractions 426/279,2560/864 is 2/26784

Least Common Multiple of 279,864 with GCF Formula

Least Common Multiple of 279,864 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 279,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(279,864) = 9

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

GCF(279,864) x common factors =9 x 1 = 9

LCM(279,864) = ( 279 × 864 ) / 9

LCM(279,864) = 241056 / 9

LCM(279,864) = 26784


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 426/279, 2560/864

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 426/279, 2560/864?

Answer: GCF of Numerators as per given numbers 426/279, 2560/864 is

GCF of Numerators i.e. for 426,2560 is 2

LCM of denominators i.e. for 279,864 is 26784.

Thus, GCF of Fractions is 2/26784.Finally, GCF of Fractions for 426/279, 2560/864 is 2/26784.