Greatest Common Factor of 252/65, 761/20, 581/572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 252/65, 761/20, 581/572

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 252/65,761/20,581/572

Given fractions are 252/65,761/20,581/572

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 252,761,581

Greatest Common Factor of Numerators i.e. GCF of 252,761,581 is 1 .

LCM of Denominators means LCM of 65,20,572 as per the given fractions.

LCM of 65,20,572 is 2860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 252,761,581

GCF of Fractions 252/65,761/20,581/572 is 1/2860

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

Greatest Common Factor of 252,761,581 By Matching Biggest Common Factor Method

Greatest Common Factor of 252,761,581 By Matching Biggest Common Factor Method

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Factors of 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Factors of 581

List of positive integer factors of 581 that divides 581 without a remainder.

1,7,83,581

Greatest Common Factor

We found the factors 252,761,581 . The biggest common factor number is the GCF number.
So the greatest common factor 252,761,581 is 1.

Lets's calculate LCM of 65,20,572

2 65, 20, 572
2 65, 10, 286
5 65, 5, 143
13 13, 1, 143
1, 1, 11

∴ So the LCM of the given numbers is 2 x 2 x 5 x 13 x 1 x 1 x 11 = 2860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2860

Therefore, the GCF of Fractions 252/65,761/20,581/572 is 1/2860

Least Common Multiple of 65,20,572 with GCF Formula

Least Common Multiple of 65,20,572 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 65,20,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,20,572) = 1

common factors(in case of two or more numbers have common factors) = 260

GCF(65,20,572) x common factors =1 x 260 = 260

LCM(65,20,572) = ( 65 × 20 × 572 ) / 260

LCM(65,20,572) = 743600 / 260

LCM(65,20,572) = 2860


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 252/65, 761/20, 581/572

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 252/65, 761/20, 581/572?

Answer: GCF of Numerators as per given numbers 252/65, 761/20, 581/572 is

GCF of Numerators i.e. for 252,761,581 is 1

LCM of denominators i.e. for 65,20,572 is 2860.

Thus, GCF of Fractions is 1/2860.Finally, GCF of Fractions for 252/65, 761/20, 581/572 is 1/2860.