Greatest Common Factor of 80/320, 72/813, 621/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 80/320, 72/813, 621/715

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 80/320,72/813,621/715

Given fractions are 80/320,72/813,621/715

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 80,72,621

Greatest Common Factor of Numerators i.e. GCF of 80,72,621 is 1 .

LCM of Denominators means LCM of 320,813,715 as per the given fractions.

LCM of 320,813,715 is 37202880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 80,72,621

GCF of Fractions 80/320,72/813,621/715 is 1/37202880

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

Greatest Common Factor of 80,72,621 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,72,621 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

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 621

List of positive integer factors of 621 that divides 621 without a remainder.

1,3,9,23,27,69,207,621

Greatest Common Factor

We found the factors 80,72,621 . The biggest common factor number is the GCF number.
So the greatest common factor 80,72,621 is 1.

Lets's calculate LCM of 320,813,715

5 320, 813, 715
64, 813, 143

∴ So the LCM of the given numbers is 5 x 64 x 813 x 143 = 37202880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37202880

Therefore, the GCF of Fractions 80/320,72/813,621/715 is 1/37202880

Least Common Multiple of 320,813,715 with GCF Formula

Least Common Multiple of 320,813,715 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 320,813,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,813,715) = 1

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

GCF(320,813,715) x common factors =1 x 5 = 5

LCM(320,813,715) = ( 320 × 813 × 715 ) / 5

LCM(320,813,715) = 186014400 / 5

LCM(320,813,715) = 37202880


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 80/320, 72/813, 621/715

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 80/320, 72/813, 621/715?

Answer: GCF of Numerators as per given numbers 80/320, 72/813, 621/715 is

GCF of Numerators i.e. for 80,72,621 is 1

LCM of denominators i.e. for 320,813,715 is 37202880.

Thus, GCF of Fractions is 1/37202880.Finally, GCF of Fractions for 80/320, 72/813, 621/715 is 1/37202880.