Greatest Common Factor of 642/91, 141/2118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 642/91, 141/2118

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 642/91,141/2118

Given fractions are 642/91,141/2118

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 642,141

Greatest Common Factor of Numerators i.e. GCF of 642,141 is 3 .

LCM of Denominators means LCM of 91,2118 as per the given fractions.

LCM of 91,2118 is 192738 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 642,141

GCF of Fractions 642/91,141/2118 is 3/192738

3 642, 141
214, 47

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 642,141 By Matching Biggest Common Factor Method

Greatest Common Factor of 642,141 By Matching Biggest Common Factor Method

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Greatest Common Factor

We found the factors 642,141 . The biggest common factor number is the GCF number.
So the greatest common factor 642,141 is 3.

Lets's calculate LCM of 91,2118

Given numbers has no common factors except 1. So, there LCM is their product i.e 192738

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/192738

Therefore, the GCF of Fractions 642/91,141/2118 is 3/192738

Least Common Multiple of 91,2118 with GCF Formula

Least Common Multiple of 91,2118 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 91,2118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,2118) = 1

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

GCF(91,2118) x common factors =1 x 1 = 1

LCM(91,2118) = ( 91 × 2118 ) / 1

LCM(91,2118) = 192738 / 1

LCM(91,2118) = 192738


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 642/91, 141/2118

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 642/91, 141/2118?

Answer: GCF of Numerators as per given numbers 642/91, 141/2118 is

GCF of Numerators i.e. for 642,141 is 3

LCM of denominators i.e. for 91,2118 is 192738.

Thus, GCF of Fractions is 3/192738.Finally, GCF of Fractions for 642/91, 141/2118 is 3/192738.