Greatest Common Factor of 36/75, 30/31, 93/27, 48/637

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 36/75, 30/31, 93/27, 48/637

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 36/75,30/31,93/27,48/637

Given fractions are 36/75,30/31,93/27,48/637

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 36,30,93,48

Greatest Common Factor of Numerators i.e. GCF of 36,30,93,48 is 3 .

LCM of Denominators means LCM of 75,31,27,637 as per the given fractions.

LCM of 75,31,27,637 is 13329225 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 36,30,93,48

GCF of Fractions 36/75,30/31,93/27,48/637 is 3/13329225

3 36, 30, 93, 48
12, 10, 31, 16

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 36,30,93,48 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,30,93,48 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Greatest Common Factor

We found the factors 36,30,93,48 . The biggest common factor number is the GCF number.
So the greatest common factor 36,30,93,48 is 3.

Lets's calculate LCM of 75,31,27,637

3 75, 31, 27, 637
25, 31, 9, 637

∴ So the LCM of the given numbers is 3 x 25 x 31 x 9 x 637 = 13329225

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/13329225

Therefore, the GCF of Fractions 36/75,30/31,93/27,48/637 is 3/13329225

Least Common Multiple of 75,31,27,637 with GCF Formula

Least Common Multiple of 75,31,27,637 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 75,31,27,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,31,27,637) = 1

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

GCF(75,31,27,637) x common factors =1 x 3 = 3

LCM(75,31,27,637) = ( 75 × 31 × 27 × 637 ) / 3

LCM(75,31,27,637) = 39987675 / 3

LCM(75,31,27,637) = 13329225


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 36/75, 30/31, 93/27, 48/637

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 36/75, 30/31, 93/27, 48/637?

Answer: GCF of Numerators as per given numbers 36/75, 30/31, 93/27, 48/637 is

GCF of Numerators i.e. for 36,30,93,48 is 3

LCM of denominators i.e. for 75,31,27,637 is 13329225.

Thus, GCF of Fractions is 3/13329225.Finally, GCF of Fractions for 36/75, 30/31, 93/27, 48/637 is 3/13329225.