Greatest Common Factor of 5770/131, 6941/3512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5770/131, 6941/3512

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 5770/131,6941/3512

Given fractions are 5770/131,6941/3512

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 5770,6941

Greatest Common Factor of Numerators i.e. GCF of 5770,6941 is 1 .

LCM of Denominators means LCM of 131,3512 as per the given fractions.

LCM of 131,3512 is 460072 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5770,6941

GCF of Fractions 5770/131,6941/3512 is 1/460072

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

Greatest Common Factor of 5770,6941 By Matching Biggest Common Factor Method

Greatest Common Factor of 5770,6941 By Matching Biggest Common Factor Method

Factors of 5770

List of positive integer factors of 5770 that divides 5770 without a remainder.

1,2,5,10,577,1154,2885,5770

Factors of 6941

List of positive integer factors of 6941 that divides 6941 without a remainder.

1,11,631,6941

Greatest Common Factor

We found the factors 5770,6941 . The biggest common factor number is the GCF number.
So the greatest common factor 5770,6941 is 1.

Lets's calculate LCM of 131,3512

Given numbers has no common factors except 1. So, there LCM is their product i.e 460072

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/460072

Therefore, the GCF of Fractions 5770/131,6941/3512 is 1/460072

Least Common Multiple of 131,3512 with GCF Formula

Least Common Multiple of 131,3512 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 131,3512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(131,3512) = 1

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

GCF(131,3512) x common factors =1 x 1 = 1

LCM(131,3512) = ( 131 × 3512 ) / 1

LCM(131,3512) = 460072 / 1

LCM(131,3512) = 460072


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 5770/131, 6941/3512

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 5770/131, 6941/3512?

Answer: GCF of Numerators as per given numbers 5770/131, 6941/3512 is

GCF of Numerators i.e. for 5770,6941 is 1

LCM of denominators i.e. for 131,3512 is 460072.

Thus, GCF of Fractions is 1/460072.Finally, GCF of Fractions for 5770/131, 6941/3512 is 1/460072.