Greatest Common Factor of 971/839, 397/657, 387/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 971/839, 397/657, 387/820

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 971/839,397/657,387/820

Given fractions are 971/839,397/657,387/820

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 971,397,387

Greatest Common Factor of Numerators i.e. GCF of 971,397,387 is 1 .

LCM of Denominators means LCM of 839,657,820 as per the given fractions.

LCM of 839,657,820 is 452002860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 971,397,387

GCF of Fractions 971/839,397/657,387/820 is 1/452002860

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

Greatest Common Factor of 971,397,387 By Matching Biggest Common Factor Method

Greatest Common Factor of 971,397,387 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 397

List of positive integer factors of 397 that divides 397 without a remainder.

1,397

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Greatest Common Factor

We found the factors 971,397,387 . The biggest common factor number is the GCF number.
So the greatest common factor 971,397,387 is 1.

Lets's calculate LCM of 839,657,820

Given numbers has no common factors except 1. So, there LCM is their product i.e 452002860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/452002860

Therefore, the GCF of Fractions 971/839,397/657,387/820 is 1/452002860

Least Common Multiple of 839,657,820 with GCF Formula

Least Common Multiple of 839,657,820 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 839,657,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(839,657,820) = 1

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

GCF(839,657,820) x common factors =1 x 1 = 1

LCM(839,657,820) = ( 839 × 657 × 820 ) / 1

LCM(839,657,820) = 452002860 / 1

LCM(839,657,820) = 452002860


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 971/839, 397/657, 387/820

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 971/839, 397/657, 387/820?

Answer: GCF of Numerators as per given numbers 971/839, 397/657, 387/820 is

GCF of Numerators i.e. for 971,397,387 is 1

LCM of denominators i.e. for 839,657,820 is 452002860.

Thus, GCF of Fractions is 1/452002860.Finally, GCF of Fractions for 971/839, 397/657, 387/820 is 1/452002860.