Greatest Common Factor of 8/72, 79/88, 97/294, 407/640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8/72, 79/88, 97/294, 407/640

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 8/72,79/88,97/294,407/640

Given fractions are 8/72,79/88,97/294,407/640

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 8,79,97,407

Greatest Common Factor of Numerators i.e. GCF of 8,79,97,407 is 1 .

LCM of Denominators means LCM of 72,88,294,640 as per the given fractions.

LCM of 72,88,294,640 is 3104640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8,79,97,407

GCF of Fractions 8/72,79/88,97/294,407/640 is 1/3104640

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

Greatest Common Factor of 8,79,97,407 By Matching Biggest Common Factor Method

Greatest Common Factor of 8,79,97,407 By Matching Biggest Common Factor Method

Factors of 8

List of positive integer factors of 8 that divides 8 without a remainder.

1,2,4,8

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Greatest Common Factor

We found the factors 8,79,97,407 . The biggest common factor number is the GCF number.
So the greatest common factor 8,79,97,407 is 1.

Lets's calculate LCM of 72,88,294,640

2 72, 88, 294, 640
2 36, 44, 147, 320
2 18, 22, 147, 160
3 9, 11, 147, 80
3, 11, 49, 80

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 11 x 49 x 80 = 3104640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3104640

Therefore, the GCF of Fractions 8/72,79/88,97/294,407/640 is 1/3104640

Least Common Multiple of 72,88,294,640 with GCF Formula

Least Common Multiple of 72,88,294,640 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 72,88,294,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,88,294,640) = 2

common factors(in case of two or more numbers have common factors) = 192

GCF(72,88,294,640) x common factors =2 x 192 = 384

LCM(72,88,294,640) = ( 72 × 88 × 294 × 640 ) / 384

LCM(72,88,294,640) = 1192181760 / 384

LCM(72,88,294,640) = 3104640


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 8/72, 79/88, 97/294, 407/640

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 8/72, 79/88, 97/294, 407/640?

Answer: GCF of Numerators as per given numbers 8/72, 79/88, 97/294, 407/640 is

GCF of Numerators i.e. for 8,79,97,407 is 1

LCM of denominators i.e. for 72,88,294,640 is 3104640.

Thus, GCF of Fractions is 1/3104640.Finally, GCF of Fractions for 8/72, 79/88, 97/294, 407/640 is 1/3104640.