Greatest Common Factor of 44/2, 91/6, 24/6, 61/9, 962/4, 96/5, 31/8, 126/1, 69/2, 58/3

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 44/2, 91/6, 24/6, 61/9, 962/4, 96/5, 31/8, 126/1, 69/2, 58/3

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 44/2,91/6,24/6,61/9,962/4,96/5,31/8,126/1,69/2,58/3

Given fractions are 44/2,91/6,24/6,61/9,962/4,96/5,31/8,126/1,69/2,58/3

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 44,91,24,61,962,96,31,126,69,58

Greatest Common Factor of Numerators i.e. GCF of 44,91,24,61,962,96,31,126,69,58 is 1 .

LCM of Denominators means LCM of 2,6,6,9,4,5,8,1,2,3 as per the given fractions.

LCM of 2,6,6,9,4,5,8,1,2,3 is 360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 44,91,24,61,962,96,31,126,69,58

GCF of Fractions 44/2,91/6,24/6,61/9,962/4,96/5,31/8,126/1,69/2,58/3 is 1/360

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

Greatest Common Factor of 44,91,24,61,962,96,31,126,69,58 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,91,24,61,962,96,31,126,69,58 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 91

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

1,7,13,91

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

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 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Greatest Common Factor

We found the factors 44,91,24,61,962,96,31,126,69,58 . The biggest common factor number is the GCF number.
So the greatest common factor 44,91,24,61,962,96,31,126,69,58 is 1.

Lets's calculate LCM of 2,6,6,9,4,5,8,1,2,3

2 2, 6, 6, 9, 4, 5, 8, 1, 2, 3
2 1, 3, 3, 9, 2, 5, 4, 1, 1, 3
3 1, 3, 3, 9, 1, 5, 2, 1, 1, 3
1, 1, 1, 1, 1, 5, 2, 1, 1, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 1 x 1 x 1 x 1 x 5 x 2 x 1 x 1 x 3 = 360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/360

Therefore, the GCF of Fractions 44/2,91/6,24/6,61/9,962/4,96/5,31/8,126/1,69/2,58/3 is 1/360

Least Common Multiple of 2,6,6,9,4,5,8,1,2,3 with GCF Formula

Least Common Multiple of 2,6,6,9,4,5,8,1,2,3 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 2,6,6,9,4,5,8,1,2,3 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2,6,6,9,4,5,8,1,2,3) = 1

common factors(in case of two or more numbers have common factors) = 1728

GCF(2,6,6,9,4,5,8,1,2,3) x common factors =1 x 1728 = 1728

LCM(2,6,6,9,4,5,8,1,2,3) = ( 2 × 6 × 6 × 9 × 4 × 5 × 8 × 1 × 2 × 3 ) / 1728

LCM(2,6,6,9,4,5,8,1,2,3) = 622080 / 1728

LCM(2,6,6,9,4,5,8,1,2,3) = 360


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 44/2, 91/6, 24/6, 61/9, 962/4, 96/5, 31/8, 126/1, 69/2, 58/3

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 44/2, 91/6, 24/6, 61/9, 962/4, 96/5, 31/8, 126/1, 69/2, 58/3?

Answer: GCF of Numerators as per given numbers 44/2, 91/6, 24/6, 61/9, 962/4, 96/5, 31/8, 126/1, 69/2, 58/3 is

GCF of Numerators i.e. for 44,91,24,61,962,96,31,126,69,58 is 1

LCM of denominators i.e. for 2,6,6,9,4,5,8,1,2,3 is 360.

Thus, GCF of Fractions is 1/360.Finally, GCF of Fractions for 44/2, 91/6, 24/6, 61/9, 962/4, 96/5, 31/8, 126/1, 69/2, 58/3 is 1/360.