Greatest Common Factor of 3762/58, 9970/131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 3762/58, 9970/131

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 3762/58,9970/131

Given fractions are 3762/58,9970/131

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 3762,9970

Greatest Common Factor of Numerators i.e. GCF of 3762,9970 is 2 .

LCM of Denominators means LCM of 58,131 as per the given fractions.

LCM of 58,131 is 7598 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3762,9970

GCF of Fractions 3762/58,9970/131 is 2/7598

2 3762, 9970
1881, 4985

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3762,9970 By Matching Biggest Common Factor Method

Greatest Common Factor of 3762,9970 By Matching Biggest Common Factor Method

Factors of 3762

List of positive integer factors of 3762 that divides 3762 without a remainder.

1,2,3,6,9,11,18,19,22,33,38,57,66,99,114,171,198,209,342,418,627,1254,1881,3762

Factors of 9970

List of positive integer factors of 9970 that divides 9970 without a remainder.

1,2,5,10,997,1994,4985,9970

Greatest Common Factor

We found the factors 3762,9970 . The biggest common factor number is the GCF number.
So the greatest common factor 3762,9970 is 2.


Lets's calculate LCM of 58,131

Given numbers has no common factors except 1. So, there LCM is their product i.e 7598

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7598

Therefore, the GCF of Fractions 3762/58,9970/131 is 2/7598

Least Common Multiple of 58,131 with GCF Formula

Least Common Multiple of 58,131 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 58,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,131) = 1

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

GCF(58,131) x common factors =1 x 1 = 1

LCM(58,131) = ( 58 × 131 ) / 1

LCM(58,131) = 7598 / 1

LCM(58,131) = 7598


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 3762/58, 9970/131

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 3762/58, 9970/131?

Answer: GCF of Numerators as per given numbers 3762/58, 9970/131 is

GCF of Numerators i.e. for 3762,9970 is 2

LCM of denominators i.e. for 58,131 is 7598.

Thus, GCF of Fractions is 2/7598.Finally, GCF of Fractions for 3762/58, 9970/131 is 2/7598.