Greatest Common Factor of 971/369, 270/491, 247/371

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 971/369, 270/491, 247/371

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 971/369,270/491,247/371

Given fractions are 971/369,270/491,247/371

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 971,270,247

Greatest Common Factor of Numerators i.e. GCF of 971,270,247 is 1 .

LCM of Denominators means LCM of 369,491,371 as per the given fractions.

LCM of 369,491,371 is 67217409 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 971,270,247

GCF of Fractions 971/369,270/491,247/371 is 1/67217409

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

Greatest Common Factor of 971,270,247 By Matching Biggest Common Factor Method

Greatest Common Factor of 971,270,247 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 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1,13,19,247

Greatest Common Factor

We found the factors 971,270,247 . The biggest common factor number is the GCF number.
So the greatest common factor 971,270,247 is 1.

Lets's calculate LCM of 369,491,371

Given numbers has no common factors except 1. So, there LCM is their product i.e 67217409

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67217409

Therefore, the GCF of Fractions 971/369,270/491,247/371 is 1/67217409

Least Common Multiple of 369,491,371 with GCF Formula

Least Common Multiple of 369,491,371 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 369,491,371 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(369,491,371) = 1

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

GCF(369,491,371) x common factors =1 x 1 = 1

LCM(369,491,371) = ( 369 × 491 × 371 ) / 1

LCM(369,491,371) = 67217409 / 1

LCM(369,491,371) = 67217409


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 971/369, 270/491, 247/371

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 971/369, 270/491, 247/371?

Answer: GCF of Numerators as per given numbers 971/369, 270/491, 247/371 is

GCF of Numerators i.e. for 971,270,247 is 1

LCM of denominators i.e. for 369,491,371 is 67217409.

Thus, GCF of Fractions is 1/67217409.Finally, GCF of Fractions for 971/369, 270/491, 247/371 is 1/67217409.