Greatest Common Factor of 579/54, 407/76, 975/252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 579/54, 407/76, 975/252

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 579/54,407/76,975/252

Given fractions are 579/54,407/76,975/252

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 579,407,975

Greatest Common Factor of Numerators i.e. GCF of 579,407,975 is 1 .

LCM of Denominators means LCM of 54,76,252 as per the given fractions.

LCM of 54,76,252 is 14364 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 579,407,975

GCF of Fractions 579/54,407/76,975/252 is 1/14364

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

Greatest Common Factor of 579,407,975 By Matching Biggest Common Factor Method

Greatest Common Factor of 579,407,975 By Matching Biggest Common Factor Method

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Greatest Common Factor

We found the factors 579,407,975 . The biggest common factor number is the GCF number.
So the greatest common factor 579,407,975 is 1.

Lets's calculate LCM of 54,76,252

2 54, 76, 252
2 27, 38, 126
3 27, 19, 63
3 9, 19, 21
3, 19, 7

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 19 x 7 = 14364

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14364

Therefore, the GCF of Fractions 579/54,407/76,975/252 is 1/14364

Least Common Multiple of 54,76,252 with GCF Formula

Least Common Multiple of 54,76,252 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 54,76,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,76,252) = 2

common factors(in case of two or more numbers have common factors) = 36

GCF(54,76,252) x common factors =2 x 36 = 72

LCM(54,76,252) = ( 54 × 76 × 252 ) / 72

LCM(54,76,252) = 1034208 / 72

LCM(54,76,252) = 14364


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 579/54, 407/76, 975/252

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 579/54, 407/76, 975/252?

Answer: GCF of Numerators as per given numbers 579/54, 407/76, 975/252 is

GCF of Numerators i.e. for 579,407,975 is 1

LCM of denominators i.e. for 54,76,252 is 14364.

Thus, GCF of Fractions is 1/14364.Finally, GCF of Fractions for 579/54, 407/76, 975/252 is 1/14364.