Greatest Common Factor of 31/615, 27/625, 608/522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 31/615, 27/625, 608/522

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 31/615,27/625,608/522

Given fractions are 31/615,27/625,608/522

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 31,27,608

Greatest Common Factor of Numerators i.e. GCF of 31,27,608 is 1 .

LCM of Denominators means LCM of 615,625,522 as per the given fractions.

LCM of 615,625,522 is 13376250 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 31,27,608

GCF of Fractions 31/615,27/625,608/522 is 1/13376250

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

Greatest Common Factor of 31,27,608 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,27,608 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Greatest Common Factor

We found the factors 31,27,608 . The biggest common factor number is the GCF number.
So the greatest common factor 31,27,608 is 1.

Lets's calculate LCM of 615,625,522

3 615, 625, 522
5 205, 625, 174
41, 125, 174

∴ So the LCM of the given numbers is 3 x 5 x 41 x 125 x 174 = 13376250

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13376250

Therefore, the GCF of Fractions 31/615,27/625,608/522 is 1/13376250

Least Common Multiple of 615,625,522 with GCF Formula

Least Common Multiple of 615,625,522 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 615,625,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(615,625,522) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(615,625,522) x common factors =1 x 15 = 15

LCM(615,625,522) = ( 615 × 625 × 522 ) / 15

LCM(615,625,522) = 200643750 / 15

LCM(615,625,522) = 13376250


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 31/615, 27/625, 608/522

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 31/615, 27/625, 608/522?

Answer: GCF of Numerators as per given numbers 31/615, 27/625, 608/522 is

GCF of Numerators i.e. for 31,27,608 is 1

LCM of denominators i.e. for 615,625,522 is 13376250.

Thus, GCF of Fractions is 1/13376250.Finally, GCF of Fractions for 31/615, 27/625, 608/522 is 1/13376250.