Greatest Common Factor of 666/76, 385/44, 542/31

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 666/76, 385/44, 542/31

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 666/76,385/44,542/31

Given fractions are 666/76,385/44,542/31

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 666,385,542

Greatest Common Factor of Numerators i.e. GCF of 666,385,542 is 1 .

LCM of Denominators means LCM of 76,44,31 as per the given fractions.

LCM of 76,44,31 is 25916 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 666,385,542

GCF of Fractions 666/76,385/44,542/31 is 1/25916

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

Greatest Common Factor of 666,385,542 By Matching Biggest Common Factor Method

Greatest Common Factor of 666,385,542 By Matching Biggest Common Factor Method

Factors of 666

List of positive integer factors of 666 that divides 666 without a remainder.

1,2,3,6,9,18,37,74,111,222,333,666

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Greatest Common Factor

We found the factors 666,385,542 . The biggest common factor number is the GCF number.
So the greatest common factor 666,385,542 is 1.

Lets's calculate LCM of 76,44,31

2 76, 44, 31
2 38, 22, 31
19, 11, 31

∴ So the LCM of the given numbers is 2 x 2 x 19 x 11 x 31 = 25916

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25916

Therefore, the GCF of Fractions 666/76,385/44,542/31 is 1/25916

Least Common Multiple of 76,44,31 with GCF Formula

Least Common Multiple of 76,44,31 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 76,44,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,44,31) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(76,44,31) x common factors =1 x 4 = 4

LCM(76,44,31) = ( 76 × 44 × 31 ) / 4

LCM(76,44,31) = 103664 / 4

LCM(76,44,31) = 25916


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 666/76, 385/44, 542/31

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 666/76, 385/44, 542/31?

Answer: GCF of Numerators as per given numbers 666/76, 385/44, 542/31 is

GCF of Numerators i.e. for 666,385,542 is 1

LCM of denominators i.e. for 76,44,31 is 25916.

Thus, GCF of Fractions is 1/25916.Finally, GCF of Fractions for 666/76, 385/44, 542/31 is 1/25916.