Greatest Common Factor of 96/29, 81/51, 40/85, 41/137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 96/29, 81/51, 40/85, 41/137

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 96/29,81/51,40/85,41/137

Given fractions are 96/29,81/51,40/85,41/137

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 96,81,40,41

Greatest Common Factor of Numerators i.e. GCF of 96,81,40,41 is 1 .

LCM of Denominators means LCM of 29,51,85,137 as per the given fractions.

LCM of 29,51,85,137 is 1013115 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 96,81,40,41

GCF of Fractions 96/29,81/51,40/85,41/137 is 1/1013115

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

Greatest Common Factor of 96,81,40,41 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,81,40,41 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Greatest Common Factor

We found the factors 96,81,40,41 . The biggest common factor number is the GCF number.
So the greatest common factor 96,81,40,41 is 1.

Lets's calculate LCM of 29,51,85,137

17 29, 51, 85, 137
29, 3, 5, 137

∴ So the LCM of the given numbers is 17 x 29 x 3 x 5 x 137 = 1013115

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1013115

Therefore, the GCF of Fractions 96/29,81/51,40/85,41/137 is 1/1013115

Least Common Multiple of 29,51,85,137 with GCF Formula

Least Common Multiple of 29,51,85,137 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 29,51,85,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,51,85,137) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(29,51,85,137) x common factors =1 x 17 = 17

LCM(29,51,85,137) = ( 29 × 51 × 85 × 137 ) / 17

LCM(29,51,85,137) = 17222955 / 17

LCM(29,51,85,137) = 1013115


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 96/29, 81/51, 40/85, 41/137

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 96/29, 81/51, 40/85, 41/137?

Answer: GCF of Numerators as per given numbers 96/29, 81/51, 40/85, 41/137 is

GCF of Numerators i.e. for 96,81,40,41 is 1

LCM of denominators i.e. for 29,51,85,137 is 1013115.

Thus, GCF of Fractions is 1/1013115.Finally, GCF of Fractions for 96/29, 81/51, 40/85, 41/137 is 1/1013115.