Greatest Common Factor of 91/51, 54/27, 73/32, 411/36

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 91/51, 54/27, 73/32, 411/36

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 91/51,54/27,73/32,411/36

Given fractions are 91/51,54/27,73/32,411/36

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 91,54,73,411

Greatest Common Factor of Numerators i.e. GCF of 91,54,73,411 is 1 .

LCM of Denominators means LCM of 51,27,32,36 as per the given fractions.

LCM of 51,27,32,36 is 14688 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 91,54,73,411

GCF of Fractions 91/51,54/27,73/32,411/36 is 1/14688

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

Greatest Common Factor of 91,54,73,411 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,54,73,411 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Greatest Common Factor

We found the factors 91,54,73,411 . The biggest common factor number is the GCF number.
So the greatest common factor 91,54,73,411 is 1.

Lets's calculate LCM of 51,27,32,36

2 51, 27, 32, 36
2 51, 27, 16, 18
3 51, 27, 8, 9
3 17, 3, 8, 9
17, 1, 8, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 17 x 1 x 8 x 3 = 14688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14688

Therefore, the GCF of Fractions 91/51,54/27,73/32,411/36 is 1/14688

Least Common Multiple of 51,27,32,36 with GCF Formula

Least Common Multiple of 51,27,32,36 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 51,27,32,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,27,32,36) = 1

common factors(in case of two or more numbers have common factors) = 108

GCF(51,27,32,36) x common factors =1 x 108 = 108

LCM(51,27,32,36) = ( 51 × 27 × 32 × 36 ) / 108

LCM(51,27,32,36) = 1586304 / 108

LCM(51,27,32,36) = 14688


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 91/51, 54/27, 73/32, 411/36

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 91/51, 54/27, 73/32, 411/36?

Answer: GCF of Numerators as per given numbers 91/51, 54/27, 73/32, 411/36 is

GCF of Numerators i.e. for 91,54,73,411 is 1

LCM of denominators i.e. for 51,27,32,36 is 14688.

Thus, GCF of Fractions is 1/14688.Finally, GCF of Fractions for 91/51, 54/27, 73/32, 411/36 is 1/14688.