Greatest Common Factor of 125/747, 715/591, 361/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 125/747, 715/591, 361/258

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 125/747,715/591,361/258

Given fractions are 125/747,715/591,361/258

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 125,715,361

Greatest Common Factor of Numerators i.e. GCF of 125,715,361 is 1 .

LCM of Denominators means LCM of 747,591,258 as per the given fractions.

LCM of 747,591,258 is 12655674 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 125,715,361

GCF of Fractions 125/747,715/591,361/258 is 1/12655674

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

Greatest Common Factor of 125,715,361 By Matching Biggest Common Factor Method

Greatest Common Factor of 125,715,361 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 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Greatest Common Factor

We found the factors 125,715,361 . The biggest common factor number is the GCF number.
So the greatest common factor 125,715,361 is 1.

Lets's calculate LCM of 747,591,258

3 747, 591, 258
249, 197, 86

∴ So the LCM of the given numbers is 3 x 249 x 197 x 86 = 12655674

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12655674

Therefore, the GCF of Fractions 125/747,715/591,361/258 is 1/12655674

Least Common Multiple of 747,591,258 with GCF Formula

Least Common Multiple of 747,591,258 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 747,591,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(747,591,258) = 3

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

GCF(747,591,258) x common factors =3 x 3 = 9

LCM(747,591,258) = ( 747 × 591 × 258 ) / 9

LCM(747,591,258) = 113901066 / 9

LCM(747,591,258) = 12655674


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 125/747, 715/591, 361/258

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 125/747, 715/591, 361/258?

Answer: GCF of Numerators as per given numbers 125/747, 715/591, 361/258 is

GCF of Numerators i.e. for 125,715,361 is 1

LCM of denominators i.e. for 747,591,258 is 12655674.

Thus, GCF of Fractions is 1/12655674.Finally, GCF of Fractions for 125/747, 715/591, 361/258 is 1/12655674.