Greatest Common Factor of 56/72, 31/71, 21/45

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 56/72, 31/71, 21/45

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 56/72,31/71,21/45

Given fractions are 56/72,31/71,21/45

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 56,31,21

Greatest Common Factor of Numerators i.e. GCF of 56,31,21 is 1 .

LCM of Denominators means LCM of 72,71,45 as per the given fractions.

LCM of 72,71,45 is 25560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 56,31,21

GCF of Fractions 56/72,31/71,21/45 is 1/25560

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

Greatest Common Factor of 56,31,21 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,31,21 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 31

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

1,31

Factors of 21

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

1,3,7,21

Greatest Common Factor

We found the factors 56,31,21 . The biggest common factor number is the GCF number.
So the greatest common factor 56,31,21 is 1.

Lets's calculate LCM of 72,71,45

3 72, 71, 45
3 24, 71, 15
8, 71, 5

∴ So the LCM of the given numbers is 3 x 3 x 8 x 71 x 5 = 25560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25560

Therefore, the GCF of Fractions 56/72,31/71,21/45 is 1/25560

Least Common Multiple of 72,71,45 with GCF Formula

Least Common Multiple of 72,71,45 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 72,71,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,71,45) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(72,71,45) x common factors =1 x 9 = 9

LCM(72,71,45) = ( 72 × 71 × 45 ) / 9

LCM(72,71,45) = 230040 / 9

LCM(72,71,45) = 25560


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 56/72, 31/71, 21/45

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 56/72, 31/71, 21/45?

Answer: GCF of Numerators as per given numbers 56/72, 31/71, 21/45 is

GCF of Numerators i.e. for 56,31,21 is 1

LCM of denominators i.e. for 72,71,45 is 25560.

Thus, GCF of Fractions is 1/25560.Finally, GCF of Fractions for 56/72, 31/71, 21/45 is 1/25560.