Greatest Common Factor of 125/96, 557/93, 564/723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 125/96, 557/93, 564/723

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 125/96,557/93,564/723

Given fractions are 125/96,557/93,564/723

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 125,557,564

Greatest Common Factor of Numerators i.e. GCF of 125,557,564 is 1 .

LCM of Denominators means LCM of 96,93,723 as per the given fractions.

LCM of 96,93,723 is 717216 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 125,557,564

GCF of Fractions 125/96,557/93,564/723 is 1/717216

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

Greatest Common Factor of 125,557,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 125,557,564 By Matching Biggest Common Factor Method

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Factors of 557

List of positive integer factors of 557 that divides 557 without a remainder.

1,557

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Greatest Common Factor

We found the factors 125,557,564 . The biggest common factor number is the GCF number.
So the greatest common factor 125,557,564 is 1.

Lets's calculate LCM of 96,93,723

3 96, 93, 723
32, 31, 241

∴ So the LCM of the given numbers is 3 x 32 x 31 x 241 = 717216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/717216

Therefore, the GCF of Fractions 125/96,557/93,564/723 is 1/717216

Least Common Multiple of 96,93,723 with GCF Formula

Least Common Multiple of 96,93,723 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 96,93,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,93,723) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(96,93,723) x common factors =3 x 3 = 9

LCM(96,93,723) = ( 96 × 93 × 723 ) / 9

LCM(96,93,723) = 6454944 / 9

LCM(96,93,723) = 717216


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 125/96, 557/93, 564/723

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 125/96, 557/93, 564/723?

Answer: GCF of Numerators as per given numbers 125/96, 557/93, 564/723 is

GCF of Numerators i.e. for 125,557,564 is 1

LCM of denominators i.e. for 96,93,723 is 717216.

Thus, GCF of Fractions is 1/717216.Finally, GCF of Fractions for 125/96, 557/93, 564/723 is 1/717216.