Greatest Common Factor of 8/42, 85/13, 31/157, 137/409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8/42, 85/13, 31/157, 137/409

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 8/42,85/13,31/157,137/409

Given fractions are 8/42,85/13,31/157,137/409

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 8,85,31,137

Greatest Common Factor of Numerators i.e. GCF of 8,85,31,137 is 1 .

LCM of Denominators means LCM of 42,13,157,409 as per the given fractions.

LCM of 42,13,157,409 is 35060298 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8,85,31,137

GCF of Fractions 8/42,85/13,31/157,137/409 is 1/35060298

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

Greatest Common Factor of 8,85,31,137 By Matching Biggest Common Factor Method

Greatest Common Factor of 8,85,31,137 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 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Greatest Common Factor

We found the factors 8,85,31,137 . The biggest common factor number is the GCF number.
So the greatest common factor 8,85,31,137 is 1.

Lets's calculate LCM of 42,13,157,409

Given numbers has no common factors except 1. So, there LCM is their product i.e 35060298

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35060298

Therefore, the GCF of Fractions 8/42,85/13,31/157,137/409 is 1/35060298

Least Common Multiple of 42,13,157,409 with GCF Formula

Least Common Multiple of 42,13,157,409 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 42,13,157,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,13,157,409) = 1

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

GCF(42,13,157,409) x common factors =1 x 1 = 1

LCM(42,13,157,409) = ( 42 × 13 × 157 × 409 ) / 1

LCM(42,13,157,409) = 35060298 / 1

LCM(42,13,157,409) = 35060298


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 8/42, 85/13, 31/157, 137/409

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 8/42, 85/13, 31/157, 137/409?

Answer: GCF of Numerators as per given numbers 8/42, 85/13, 31/157, 137/409 is

GCF of Numerators i.e. for 8,85,31,137 is 1

LCM of denominators i.e. for 42,13,157,409 is 35060298.

Thus, GCF of Fractions is 1/35060298.Finally, GCF of Fractions for 8/42, 85/13, 31/157, 137/409 is 1/35060298.