Greatest Common Factor of 42/21, 97/85, 157/41

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 42/21, 97/85, 157/41

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 42/21,97/85,157/41

Given fractions are 42/21,97/85,157/41

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 42,97,157

Greatest Common Factor of Numerators i.e. GCF of 42,97,157 is 1 .

LCM of Denominators means LCM of 21,85,41 as per the given fractions.

LCM of 21,85,41 is 73185 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 42,97,157

GCF of Fractions 42/21,97/85,157/41 is 1/73185

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

Greatest Common Factor of 42,97,157 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,97,157 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 97

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

1,97

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Greatest Common Factor

We found the factors 42,97,157 . The biggest common factor number is the GCF number.
So the greatest common factor 42,97,157 is 1.

Lets's calculate LCM of 21,85,41

Given numbers has no common factors except 1. So, there LCM is their product i.e 73185

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73185

Therefore, the GCF of Fractions 42/21,97/85,157/41 is 1/73185

Least Common Multiple of 21,85,41 with GCF Formula

Least Common Multiple of 21,85,41 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 21,85,41 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,85,41) = 1

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

GCF(21,85,41) x common factors =1 x 1 = 1

LCM(21,85,41) = ( 21 × 85 × 41 ) / 1

LCM(21,85,41) = 73185 / 1

LCM(21,85,41) = 73185


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 42/21, 97/85, 157/41

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 42/21, 97/85, 157/41?

Answer: GCF of Numerators as per given numbers 42/21, 97/85, 157/41 is

GCF of Numerators i.e. for 42,97,157 is 1

LCM of denominators i.e. for 21,85,41 is 73185.

Thus, GCF of Fractions is 1/73185.Finally, GCF of Fractions for 42/21, 97/85, 157/41 is 1/73185.