Greatest Common Factor of 72/65, 39/72, 328/616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 72/65, 39/72, 328/616

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 72/65,39/72,328/616

Given fractions are 72/65,39/72,328/616

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 72,39,328

Greatest Common Factor of Numerators i.e. GCF of 72,39,328 is 1 .

LCM of Denominators means LCM of 65,72,616 as per the given fractions.

LCM of 65,72,616 is 360360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 72,39,328

GCF of Fractions 72/65,39/72,328/616 is 1/360360

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

Greatest Common Factor of 72,39,328 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,39,328 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 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Greatest Common Factor

We found the factors 72,39,328 . The biggest common factor number is the GCF number.
So the greatest common factor 72,39,328 is 1.

Lets's calculate LCM of 65,72,616

2 65, 72, 616
2 65, 36, 308
2 65, 18, 154
65, 9, 77

∴ So the LCM of the given numbers is 2 x 2 x 2 x 65 x 9 x 77 = 360360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/360360

Therefore, the GCF of Fractions 72/65,39/72,328/616 is 1/360360

Least Common Multiple of 65,72,616 with GCF Formula

Least Common Multiple of 65,72,616 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 65,72,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,72,616) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(65,72,616) x common factors =1 x 8 = 8

LCM(65,72,616) = ( 65 × 72 × 616 ) / 8

LCM(65,72,616) = 2882880 / 8

LCM(65,72,616) = 360360


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 72/65, 39/72, 328/616

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 72/65, 39/72, 328/616?

Answer: GCF of Numerators as per given numbers 72/65, 39/72, 328/616 is

GCF of Numerators i.e. for 72,39,328 is 1

LCM of denominators i.e. for 65,72,616 is 360360.

Thus, GCF of Fractions is 1/360360.Finally, GCF of Fractions for 72/65, 39/72, 328/616 is 1/360360.