Greatest Common Factor of 8/82, 30/57, 78/908, 582/938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8/82, 30/57, 78/908, 582/938

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 8/82,30/57,78/908,582/938

Given fractions are 8/82,30/57,78/908,582/938

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 8,30,78,582

Greatest Common Factor of Numerators i.e. GCF of 8,30,78,582 is 2 .

LCM of Denominators means LCM of 82,57,908,938 as per the given fractions.

LCM of 82,57,908,938 is 995216124 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8,30,78,582

GCF of Fractions 8/82,30/57,78/908,582/938 is 2/995216124

2 8, 30, 78, 582
4, 15, 39, 291

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

Greatest Common Factor of 8,30,78,582 By Matching Biggest Common Factor Method

Greatest Common Factor of 8,30,78,582 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 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

Greatest Common Factor

We found the factors 8,30,78,582 . The biggest common factor number is the GCF number.
So the greatest common factor 8,30,78,582 is 2.

Lets's calculate LCM of 82,57,908,938

2 82, 57, 908, 938
41, 57, 454, 469

∴ So the LCM of the given numbers is 2 x 41 x 57 x 454 x 469 = 995216124

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/995216124

Therefore, the GCF of Fractions 8/82,30/57,78/908,582/938 is 2/995216124

Least Common Multiple of 82,57,908,938 with GCF Formula

Least Common Multiple of 82,57,908,938 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 82,57,908,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,57,908,938) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(82,57,908,938) x common factors =1 x 4 = 4

LCM(82,57,908,938) = ( 82 × 57 × 908 × 938 ) / 4

LCM(82,57,908,938) = 3980864496 / 4

LCM(82,57,908,938) = 995216124


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 8/82, 30/57, 78/908, 582/938

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 8/82, 30/57, 78/908, 582/938?

Answer: GCF of Numerators as per given numbers 8/82, 30/57, 78/908, 582/938 is

GCF of Numerators i.e. for 8,30,78,582 is 2

LCM of denominators i.e. for 82,57,908,938 is 995216124.

Thus, GCF of Fractions is 2/995216124.Finally, GCF of Fractions for 8/82, 30/57, 78/908, 582/938 is 2/995216124.