Greatest Common Factor of 340/42, 3561/131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 340/42, 3561/131

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 340/42,3561/131

Given fractions are 340/42,3561/131

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 340,3561

Greatest Common Factor of Numerators i.e. GCF of 340,3561 is 1 .

LCM of Denominators means LCM of 42,131 as per the given fractions.

LCM of 42,131 is 5502 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 340,3561

GCF of Fractions 340/42,3561/131 is 1/5502

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

Greatest Common Factor of 340,3561 By Matching Biggest Common Factor Method

Greatest Common Factor of 340,3561 By Matching Biggest Common Factor Method

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 3561

List of positive integer factors of 3561 that divides 3561 without a remainder.

1,3,1187,3561

Greatest Common Factor

We found the factors 340,3561 . The biggest common factor number is the GCF number.
So the greatest common factor 340,3561 is 1.

Lets's calculate LCM of 42,131

Given numbers has no common factors except 1. So, there LCM is their product i.e 5502

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5502

Therefore, the GCF of Fractions 340/42,3561/131 is 1/5502

Least Common Multiple of 42,131 with GCF Formula

Least Common Multiple of 42,131 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 42,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,131) = 1

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

GCF(42,131) x common factors =1 x 1 = 1

LCM(42,131) = ( 42 × 131 ) / 1

LCM(42,131) = 5502 / 1

LCM(42,131) = 5502


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 340/42, 3561/131

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 340/42, 3561/131?

Answer: GCF of Numerators as per given numbers 340/42, 3561/131 is

GCF of Numerators i.e. for 340,3561 is 1

LCM of denominators i.e. for 42,131 is 5502.

Thus, GCF of Fractions is 1/5502.Finally, GCF of Fractions for 340/42, 3561/131 is 1/5502.