Greatest Common Factor of 27/741, 87/754, 966/641

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/741, 87/754, 966/641

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 27/741,87/754,966/641

Given fractions are 27/741,87/754,966/641

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 27,87,966

Greatest Common Factor of Numerators i.e. GCF of 27,87,966 is 3 .

LCM of Denominators means LCM of 741,754,641 as per the given fractions.

LCM of 741,754,641 is 27548898 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,87,966

GCF of Fractions 27/741,87/754,966/641 is 3/27548898

3 27, 87, 966
9, 29, 322

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 27,87,966 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,87,966 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Greatest Common Factor

We found the factors 27,87,966 . The biggest common factor number is the GCF number.
So the greatest common factor 27,87,966 is 3.

Lets's calculate LCM of 741,754,641

13 741, 754, 641
57, 58, 641

∴ So the LCM of the given numbers is 13 x 57 x 58 x 641 = 27548898

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/27548898

Therefore, the GCF of Fractions 27/741,87/754,966/641 is 3/27548898

Least Common Multiple of 741,754,641 with GCF Formula

Least Common Multiple of 741,754,641 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 741,754,641 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(741,754,641) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(741,754,641) x common factors =1 x 13 = 13

LCM(741,754,641) = ( 741 × 754 × 641 ) / 13

LCM(741,754,641) = 358135674 / 13

LCM(741,754,641) = 27548898


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 27/741, 87/754, 966/641

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 27/741, 87/754, 966/641?

Answer: GCF of Numerators as per given numbers 27/741, 87/754, 966/641 is

GCF of Numerators i.e. for 27,87,966 is 3

LCM of denominators i.e. for 741,754,641 is 27548898.

Thus, GCF of Fractions is 3/27548898.Finally, GCF of Fractions for 27/741, 87/754, 966/641 is 3/27548898.