Greatest Common Factor of 565/656, 512/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 565/656, 512/442

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 565/656,512/442

Given fractions are 565/656,512/442

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 565,512

Greatest Common Factor of Numerators i.e. GCF of 565,512 is 1 .

LCM of Denominators means LCM of 656,442 as per the given fractions.

LCM of 656,442 is 144976 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 565,512

GCF of Fractions 565/656,512/442 is 1/144976

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 565,512 By Matching Biggest Common Factor Method

Greatest Common Factor of 565,512 By Matching Biggest Common Factor Method

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Greatest Common Factor

We found the factors 565,512 . The biggest common factor number is the GCF number.
So the greatest common factor 565,512 is 1.

Lets's calculate LCM of 656,442

2 656, 442
328, 221

∴ So the LCM of the given numbers is 2 x 328 x 221 = 144976

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144976

Therefore, the GCF of Fractions 565/656,512/442 is 1/144976

Least Common Multiple of 656,442 with GCF Formula

Least Common Multiple of 656,442 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 656,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(656,442) = 2

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

GCF(656,442) x common factors =2 x 1 = 2

LCM(656,442) = ( 656 × 442 ) / 2

LCM(656,442) = 289952 / 2

LCM(656,442) = 144976


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 565/656, 512/442

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 565/656, 512/442?

Answer: GCF of Numerators as per given numbers 565/656, 512/442 is

GCF of Numerators i.e. for 565,512 is 1

LCM of denominators i.e. for 656,442 is 144976.

Thus, GCF of Fractions is 1/144976.Finally, GCF of Fractions for 565/656, 512/442 is 1/144976.