Greatest Common Factor of 72/54, 895/67, 735/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 72/54, 895/67, 735/492

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 72/54,895/67,735/492

Given fractions are 72/54,895/67,735/492

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 72,895,735

Greatest Common Factor of Numerators i.e. GCF of 72,895,735 is 1 .

LCM of Denominators means LCM of 54,67,492 as per the given fractions.

LCM of 54,67,492 is 296676 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 72,895,735

GCF of Fractions 72/54,895/67,735/492 is 1/296676

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

Greatest Common Factor of 72,895,735 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,895,735 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 895

List of positive integer factors of 895 that divides 895 without a remainder.

1,5,179,895

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Greatest Common Factor

We found the factors 72,895,735 . The biggest common factor number is the GCF number.
So the greatest common factor 72,895,735 is 1.

Lets's calculate LCM of 54,67,492

2 54, 67, 492
3 27, 67, 246
9, 67, 82

∴ So the LCM of the given numbers is 2 x 3 x 9 x 67 x 82 = 296676

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/296676

Therefore, the GCF of Fractions 72/54,895/67,735/492 is 1/296676

Least Common Multiple of 54,67,492 with GCF Formula

Least Common Multiple of 54,67,492 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 54,67,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,67,492) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(54,67,492) x common factors =1 x 6 = 6

LCM(54,67,492) = ( 54 × 67 × 492 ) / 6

LCM(54,67,492) = 1780056 / 6

LCM(54,67,492) = 296676


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 72/54, 895/67, 735/492

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 72/54, 895/67, 735/492?

Answer: GCF of Numerators as per given numbers 72/54, 895/67, 735/492 is

GCF of Numerators i.e. for 72,895,735 is 1

LCM of denominators i.e. for 54,67,492 is 296676.

Thus, GCF of Fractions is 1/296676.Finally, GCF of Fractions for 72/54, 895/67, 735/492 is 1/296676.