Greatest Common Factor of 72/71, 25/40, 531/385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 72/71, 25/40, 531/385

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 72/71,25/40,531/385

Given fractions are 72/71,25/40,531/385

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 72,25,531

Greatest Common Factor of Numerators i.e. GCF of 72,25,531 is 1 .

LCM of Denominators means LCM of 71,40,385 as per the given fractions.

LCM of 71,40,385 is 218680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 72,25,531

GCF of Fractions 72/71,25/40,531/385 is 1/218680

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

Greatest Common Factor of 72,25,531 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,25,531 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Greatest Common Factor

We found the factors 72,25,531 . The biggest common factor number is the GCF number.
So the greatest common factor 72,25,531 is 1.

Lets's calculate LCM of 71,40,385

5 71, 40, 385
71, 8, 77

∴ So the LCM of the given numbers is 5 x 71 x 8 x 77 = 218680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/218680

Therefore, the GCF of Fractions 72/71,25/40,531/385 is 1/218680

Least Common Multiple of 71,40,385 with GCF Formula

Least Common Multiple of 71,40,385 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 71,40,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,40,385) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(71,40,385) x common factors =1 x 5 = 5

LCM(71,40,385) = ( 71 × 40 × 385 ) / 5

LCM(71,40,385) = 1093400 / 5

LCM(71,40,385) = 218680


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 72/71, 25/40, 531/385

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 72/71, 25/40, 531/385?

Answer: GCF of Numerators as per given numbers 72/71, 25/40, 531/385 is

GCF of Numerators i.e. for 72,25,531 is 1

LCM of denominators i.e. for 71,40,385 is 218680.

Thus, GCF of Fractions is 1/218680.Finally, GCF of Fractions for 72/71, 25/40, 531/385 is 1/218680.