Greatest Common Factor of 971/38, 718/6061

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 971/38, 718/6061

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 971/38,718/6061

Given fractions are 971/38,718/6061

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 971,718

Greatest Common Factor of Numerators i.e. GCF of 971,718 is 1 .

LCM of Denominators means LCM of 38,6061 as per the given fractions.

LCM of 38,6061 is 12122 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 971,718

GCF of Fractions 971/38,718/6061 is 1/12122

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

Greatest Common Factor of 971,718 By Matching Biggest Common Factor Method

Greatest Common Factor of 971,718 By Matching Biggest Common Factor Method

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Greatest Common Factor

We found the factors 971,718 . The biggest common factor number is the GCF number.
So the greatest common factor 971,718 is 1.

Lets's calculate LCM of 38,6061

19 38, 6061
2, 319

∴ So the LCM of the given numbers is 19 x 2 x 319 = 12122

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12122

Therefore, the GCF of Fractions 971/38,718/6061 is 1/12122

Least Common Multiple of 38,6061 with GCF Formula

Least Common Multiple of 38,6061 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 38,6061 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,6061) = 19

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

GCF(38,6061) x common factors =19 x 1 = 19

LCM(38,6061) = ( 38 × 6061 ) / 19

LCM(38,6061) = 230318 / 19

LCM(38,6061) = 12122


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 971/38, 718/6061

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 971/38, 718/6061?

Answer: GCF of Numerators as per given numbers 971/38, 718/6061 is

GCF of Numerators i.e. for 971,718 is 1

LCM of denominators i.e. for 38,6061 is 12122.

Thus, GCF of Fractions is 1/12122.Finally, GCF of Fractions for 971/38, 718/6061 is 1/12122.