Greatest Common Factor of 6/31, 26/99, 82/375, 228/570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6/31, 26/99, 82/375, 228/570

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 6/31,26/99,82/375,228/570

Given fractions are 6/31,26/99,82/375,228/570

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 6,26,82,228

Greatest Common Factor of Numerators i.e. GCF of 6,26,82,228 is 2 .

LCM of Denominators means LCM of 31,99,375,570 as per the given fractions.

LCM of 31,99,375,570 is 14577750 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6,26,82,228

GCF of Fractions 6/31,26/99,82/375,228/570 is 2/14577750

2 6, 26, 82, 228
3, 13, 41, 114

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6,26,82,228 By Matching Biggest Common Factor Method

Greatest Common Factor of 6,26,82,228 By Matching Biggest Common Factor Method

Factors of 6

List of positive integer factors of 6 that divides 6 without a remainder.

1,2,3,6

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Greatest Common Factor

We found the factors 6,26,82,228 . The biggest common factor number is the GCF number.
So the greatest common factor 6,26,82,228 is 2.

Lets's calculate LCM of 31,99,375,570

3 31, 99, 375, 570
5 31, 33, 125, 190
31, 33, 25, 38

∴ So the LCM of the given numbers is 3 x 5 x 31 x 33 x 25 x 38 = 14577750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14577750

Therefore, the GCF of Fractions 6/31,26/99,82/375,228/570 is 2/14577750

Least Common Multiple of 31,99,375,570 with GCF Formula

Least Common Multiple of 31,99,375,570 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 31,99,375,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,99,375,570) = 1

common factors(in case of two or more numbers have common factors) = 45

GCF(31,99,375,570) x common factors =1 x 45 = 45

LCM(31,99,375,570) = ( 31 × 99 × 375 × 570 ) / 45

LCM(31,99,375,570) = 655998750 / 45

LCM(31,99,375,570) = 14577750


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 6/31, 26/99, 82/375, 228/570

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 6/31, 26/99, 82/375, 228/570?

Answer: GCF of Numerators as per given numbers 6/31, 26/99, 82/375, 228/570 is

GCF of Numerators i.e. for 6,26,82,228 is 2

LCM of denominators i.e. for 31,99,375,570 is 14577750.

Thus, GCF of Fractions is 2/14577750.Finally, GCF of Fractions for 6/31, 26/99, 82/375, 228/570 is 2/14577750.