Greatest Common Factor of 2740/117, 1561/8941

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2740/117, 1561/8941

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 2740/117,1561/8941

Given fractions are 2740/117,1561/8941

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 2740,1561

Greatest Common Factor of Numerators i.e. GCF of 2740,1561 is 1 .

LCM of Denominators means LCM of 117,8941 as per the given fractions.

LCM of 117,8941 is 1046097 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2740,1561

GCF of Fractions 2740/117,1561/8941 is 1/1046097

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

Greatest Common Factor of 2740,1561 By Matching Biggest Common Factor Method

Greatest Common Factor of 2740,1561 By Matching Biggest Common Factor Method

Factors of 2740

List of positive integer factors of 2740 that divides 2740 without a remainder.

1,2,4,5,10,20,137,274,548,685,1370,2740

Factors of 1561

List of positive integer factors of 1561 that divides 1561 without a remainder.

1,7,223,1561

Greatest Common Factor

We found the factors 2740,1561 . The biggest common factor number is the GCF number.
So the greatest common factor 2740,1561 is 1.

Lets's calculate LCM of 117,8941

Given numbers has no common factors except 1. So, there LCM is their product i.e 1046097

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1046097

Therefore, the GCF of Fractions 2740/117,1561/8941 is 1/1046097

Least Common Multiple of 117,8941 with GCF Formula

Least Common Multiple of 117,8941 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 117,8941 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(117,8941) = 1

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

GCF(117,8941) x common factors =1 x 1 = 1

LCM(117,8941) = ( 117 × 8941 ) / 1

LCM(117,8941) = 1046097 / 1

LCM(117,8941) = 1046097


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 2740/117, 1561/8941

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 2740/117, 1561/8941?

Answer: GCF of Numerators as per given numbers 2740/117, 1561/8941 is

GCF of Numerators i.e. for 2740,1561 is 1

LCM of denominators i.e. for 117,8941 is 1046097.

Thus, GCF of Fractions is 1/1046097.Finally, GCF of Fractions for 2740/117, 1561/8941 is 1/1046097.