Greatest Common Factor of 57/36, 21/56, 120/153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 57/36, 21/56, 120/153

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 57/36,21/56,120/153

Given fractions are 57/36,21/56,120/153

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 57,21,120

Greatest Common Factor of Numerators i.e. GCF of 57,21,120 is 3 .

LCM of Denominators means LCM of 36,56,153 as per the given fractions.

LCM of 36,56,153 is 8568 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 57,21,120

GCF of Fractions 57/36,21/56,120/153 is 3/8568

3 57, 21, 120
19, 7, 40

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

Greatest Common Factor of 57,21,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,21,120 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 57,21,120 . The biggest common factor number is the GCF number.
So the greatest common factor 57,21,120 is 3.

Lets's calculate LCM of 36,56,153

2 36, 56, 153
2 18, 28, 153
3 9, 14, 153
3 3, 14, 51
1, 14, 17

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 14 x 17 = 8568

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/8568

Therefore, the GCF of Fractions 57/36,21/56,120/153 is 3/8568

Least Common Multiple of 36,56,153 with GCF Formula

Least Common Multiple of 36,56,153 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 36,56,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,56,153) = 1

common factors(in case of two or more numbers have common factors) = 36

GCF(36,56,153) x common factors =1 x 36 = 36

LCM(36,56,153) = ( 36 × 56 × 153 ) / 36

LCM(36,56,153) = 308448 / 36

LCM(36,56,153) = 8568


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 57/36, 21/56, 120/153

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 57/36, 21/56, 120/153?

Answer: GCF of Numerators as per given numbers 57/36, 21/56, 120/153 is

GCF of Numerators i.e. for 57,21,120 is 3

LCM of denominators i.e. for 36,56,153 is 8568.

Thus, GCF of Fractions is 3/8568.Finally, GCF of Fractions for 57/36, 21/56, 120/153 is 3/8568.