Greatest Common Factor of 10/31, 58/62, 52/13, 54/905

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 10/31, 58/62, 52/13, 54/905

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 10/31,58/62,52/13,54/905

Given fractions are 10/31,58/62,52/13,54/905

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 10,58,52,54

Greatest Common Factor of Numerators i.e. GCF of 10,58,52,54 is 2 .

LCM of Denominators means LCM of 31,62,13,905 as per the given fractions.

LCM of 31,62,13,905 is 729430 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 10,58,52,54

GCF of Fractions 10/31,58/62,52/13,54/905 is 2/729430

2 10, 58, 52, 54
5, 29, 26, 27

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

Greatest Common Factor of 10,58,52,54 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,58,52,54 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Greatest Common Factor

We found the factors 10,58,52,54 . The biggest common factor number is the GCF number.
So the greatest common factor 10,58,52,54 is 2.

Lets's calculate LCM of 31,62,13,905

31 31, 62, 13, 905
1, 2, 13, 905

∴ So the LCM of the given numbers is 31 x 1 x 2 x 13 x 905 = 729430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/729430

Therefore, the GCF of Fractions 10/31,58/62,52/13,54/905 is 2/729430

Least Common Multiple of 31,62,13,905 with GCF Formula

Least Common Multiple of 31,62,13,905 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 31,62,13,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,62,13,905) = 1

common factors(in case of two or more numbers have common factors) = 31

GCF(31,62,13,905) x common factors =1 x 31 = 31

LCM(31,62,13,905) = ( 31 × 62 × 13 × 905 ) / 31

LCM(31,62,13,905) = 22612330 / 31

LCM(31,62,13,905) = 729430


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 10/31, 58/62, 52/13, 54/905

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 10/31, 58/62, 52/13, 54/905?

Answer: GCF of Numerators as per given numbers 10/31, 58/62, 52/13, 54/905 is

GCF of Numerators i.e. for 10,58,52,54 is 2

LCM of denominators i.e. for 31,62,13,905 is 729430.

Thus, GCF of Fractions is 2/729430.Finally, GCF of Fractions for 10/31, 58/62, 52/13, 54/905 is 2/729430.