Greatest Common Factor of 82/7, 15/9, 50/3, 56/8, 244/2, 83/4, 92/4, 820/8, 25/5, 88/5

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 82/7, 15/9, 50/3, 56/8, 244/2, 83/4, 92/4, 820/8, 25/5, 88/5

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 82/7,15/9,50/3,56/8,244/2,83/4,92/4,820/8,25/5,88/5

Given fractions are 82/7,15/9,50/3,56/8,244/2,83/4,92/4,820/8,25/5,88/5

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 82,15,50,56,244,83,92,820,25,88

Greatest Common Factor of Numerators i.e. GCF of 82,15,50,56,244,83,92,820,25,88 is 1 .

LCM of Denominators means LCM of 7,9,3,8,2,4,4,8,5,5 as per the given fractions.

LCM of 7,9,3,8,2,4,4,8,5,5 is 2520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 82,15,50,56,244,83,92,820,25,88

GCF of Fractions 82/7,15/9,50/3,56/8,244/2,83/4,92/4,820/8,25/5,88/5 is 1/2520

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

Greatest Common Factor of 82,15,50,56,244,83,92,820,25,88 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,15,50,56,244,83,92,820,25,88 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1,2,4,61,122,244

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Greatest Common Factor

We found the factors 82,15,50,56,244,83,92,820,25,88 . The biggest common factor number is the GCF number.
So the greatest common factor 82,15,50,56,244,83,92,820,25,88 is 1.

Lets's calculate LCM of 7,9,3,8,2,4,4,8,5,5

2 7, 9, 3, 8, 2, 4, 4, 8, 5, 5
2 7, 9, 3, 4, 1, 2, 2, 4, 5, 5
2 7, 9, 3, 1, 1, 1, 2, 2, 5, 5
3 7, 9, 3, 1, 1, 1, 1, 1, 5, 5
5 7, 1, 3, 1, 1, 1, 1, 1, 5, 5
7, 1, 3, 1, 1, 1, 1, 1, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 7 x 1 x 3 x 1 x 1 x 1 x 1 x 1 x 1 x 1 = 2520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2520

Therefore, the GCF of Fractions 82/7,15/9,50/3,56/8,244/2,83/4,92/4,820/8,25/5,88/5 is 1/2520

Least Common Multiple of 7,9,3,8,2,4,4,8,5,5 with GCF Formula

Least Common Multiple of 7,9,3,8,2,4,4,8,5,5 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 7,9,3,8,2,4,4,8,5,5 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,9,3,8,2,4,4,8,5,5) = 1

common factors(in case of two or more numbers have common factors) = 3840

GCF(7,9,3,8,2,4,4,8,5,5) x common factors =1 x 3840 = 3840

LCM(7,9,3,8,2,4,4,8,5,5) = ( 7 × 9 × 3 × 8 × 2 × 4 × 4 × 8 × 5 × 5 ) / 3840

LCM(7,9,3,8,2,4,4,8,5,5) = 9676800 / 3840

LCM(7,9,3,8,2,4,4,8,5,5) = 2520


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 82/7, 15/9, 50/3, 56/8, 244/2, 83/4, 92/4, 820/8, 25/5, 88/5

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 82/7, 15/9, 50/3, 56/8, 244/2, 83/4, 92/4, 820/8, 25/5, 88/5?

Answer: GCF of Numerators as per given numbers 82/7, 15/9, 50/3, 56/8, 244/2, 83/4, 92/4, 820/8, 25/5, 88/5 is

GCF of Numerators i.e. for 82,15,50,56,244,83,92,820,25,88 is 1

LCM of denominators i.e. for 7,9,3,8,2,4,4,8,5,5 is 2520.

Thus, GCF of Fractions is 1/2520.Finally, GCF of Fractions for 82/7, 15/9, 50/3, 56/8, 244/2, 83/4, 92/4, 820/8, 25/5, 88/5 is 1/2520.