Greatest Common Factor of 140/131, 6146/422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 140/131, 6146/422

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 140/131,6146/422

Given fractions are 140/131,6146/422

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 140,6146

Greatest Common Factor of Numerators i.e. GCF of 140,6146 is 14 .

LCM of Denominators means LCM of 131,422 as per the given fractions.

LCM of 131,422 is 55282 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 140,6146

GCF of Fractions 140/131,6146/422 is 14/55282

2 140, 6146
7 70, 3073
10, 439

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 140,6146 By Matching Biggest Common Factor Method

Greatest Common Factor of 140,6146 By Matching Biggest Common Factor Method

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Factors of 6146

List of positive integer factors of 6146 that divides 6146 without a remainder.

1,2,7,14,439,878,3073,6146

Greatest Common Factor

We found the factors 140,6146 . The biggest common factor number is the GCF number.
So the greatest common factor 140,6146 is 14.

Lets's calculate LCM of 131,422

Given numbers has no common factors except 1. So, there LCM is their product i.e 55282

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/55282

Therefore, the GCF of Fractions 140/131,6146/422 is 14/55282

Least Common Multiple of 131,422 with GCF Formula

Least Common Multiple of 131,422 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 131,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(131,422) = 1

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

GCF(131,422) x common factors =1 x 1 = 1

LCM(131,422) = ( 131 × 422 ) / 1

LCM(131,422) = 55282 / 1

LCM(131,422) = 55282


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 140/131, 6146/422

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 140/131, 6146/422?

Answer: GCF of Numerators as per given numbers 140/131, 6146/422 is

GCF of Numerators i.e. for 140,6146 is 14

LCM of denominators i.e. for 131,422 is 55282.

Thus, GCF of Fractions is 14/55282.Finally, GCF of Fractions for 140/131, 6146/422 is 14/55282.