Greatest Common Factor of 2635/564, 7512/590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2635/564, 7512/590

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 2635/564,7512/590

Given fractions are 2635/564,7512/590

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 2635,7512

Greatest Common Factor of Numerators i.e. GCF of 2635,7512 is 1 .

LCM of Denominators means LCM of 564,590 as per the given fractions.

LCM of 564,590 is 166380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2635,7512

GCF of Fractions 2635/564,7512/590 is 1/166380

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

Greatest Common Factor of 2635,7512 By Matching Biggest Common Factor Method

Greatest Common Factor of 2635,7512 By Matching Biggest Common Factor Method

Factors of 2635

List of positive integer factors of 2635 that divides 2635 without a remainder.

1,5,17,31,85,155,527,2635

Factors of 7512

List of positive integer factors of 7512 that divides 7512 without a remainder.

1,2,3,4,6,8,12,24,313,626,939,1252,1878,2504,3756,7512

Greatest Common Factor

We found the factors 2635,7512 . The biggest common factor number is the GCF number.
So the greatest common factor 2635,7512 is 1.

Lets's calculate LCM of 564,590

2 564, 590
282, 295

∴ So the LCM of the given numbers is 2 x 282 x 295 = 166380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/166380

Therefore, the GCF of Fractions 2635/564,7512/590 is 1/166380

Least Common Multiple of 564,590 with GCF Formula

Least Common Multiple of 564,590 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 564,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,590) = 2

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

GCF(564,590) x common factors =2 x 1 = 2

LCM(564,590) = ( 564 × 590 ) / 2

LCM(564,590) = 332760 / 2

LCM(564,590) = 166380


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 2635/564, 7512/590

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 2635/564, 7512/590?

Answer: GCF of Numerators as per given numbers 2635/564, 7512/590 is

GCF of Numerators i.e. for 2635,7512 is 1

LCM of denominators i.e. for 564,590 is 166380.

Thus, GCF of Fractions is 1/166380.Finally, GCF of Fractions for 2635/564, 7512/590 is 1/166380.