Greatest Common Factor of 72/930, 6082/8278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 72/930, 6082/8278

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 72/930,6082/8278

Given fractions are 72/930,6082/8278

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 72,6082

Greatest Common Factor of Numerators i.e. GCF of 72,6082 is 2 .

LCM of Denominators means LCM of 930,8278 as per the given fractions.

LCM of 930,8278 is 3849270 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 72,6082

GCF of Fractions 72/930,6082/8278 is 2/3849270

2 72, 6082
36, 3041

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 72,6082 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,6082 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 6082

List of positive integer factors of 6082 that divides 6082 without a remainder.

1,2,3041,6082

Greatest Common Factor

We found the factors 72,6082 . The biggest common factor number is the GCF number.
So the greatest common factor 72,6082 is 2.

Lets's calculate LCM of 930,8278

2 930, 8278
465, 4139

∴ So the LCM of the given numbers is 2 x 465 x 4139 = 3849270

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3849270

Therefore, the GCF of Fractions 72/930,6082/8278 is 2/3849270

Least Common Multiple of 930,8278 with GCF Formula

Least Common Multiple of 930,8278 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 930,8278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(930,8278) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(930,8278) x common factors =2 x 1 = 2

LCM(930,8278) = ( 930 × 8278 ) / 2

LCM(930,8278) = 7698540 / 2

LCM(930,8278) = 3849270


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 72/930, 6082/8278

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 72/930, 6082/8278?

Answer: GCF of Numerators as per given numbers 72/930, 6082/8278 is

GCF of Numerators i.e. for 72,6082 is 2

LCM of denominators i.e. for 930,8278 is 3849270.

Thus, GCF of Fractions is 2/3849270.Finally, GCF of Fractions for 72/930, 6082/8278 is 2/3849270.