Greatest Common Factor of 15/9, 30/5, 30/9, 88/8, 586/6, 32/8, 89/2, 157/9, 72/6, 60/3

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 15/9, 30/5, 30/9, 88/8, 586/6, 32/8, 89/2, 157/9, 72/6, 60/3

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 15/9,30/5,30/9,88/8,586/6,32/8,89/2,157/9,72/6,60/3

Given fractions are 15/9,30/5,30/9,88/8,586/6,32/8,89/2,157/9,72/6,60/3

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 15,30,30,88,586,32,89,157,72,60

Greatest Common Factor of Numerators i.e. GCF of 15,30,30,88,586,32,89,157,72,60 is 1 .

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

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

Lets's calculate GCF of 15,30,30,88,586,32,89,157,72,60

GCF of Fractions 15/9,30/5,30/9,88/8,586/6,32/8,89/2,157/9,72/6,60/3 is 1/360

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

Greatest Common Factor of 15,30,30,88,586,32,89,157,72,60 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,30,30,88,586,32,89,157,72,60 By Matching Biggest Common Factor Method

Factors of 15

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

1,3,5,15

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 88

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

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

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Greatest Common Factor

We found the factors 15,30,30,88,586,32,89,157,72,60 . The biggest common factor number is the GCF number.
So the greatest common factor 15,30,30,88,586,32,89,157,72,60 is 1.

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

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

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

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

Therefore, the GCF of Fractions 15/9,30/5,30/9,88/8,586/6,32/8,89/2,157/9,72/6,60/3 is 1/360

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

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

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

common factors(in case of two or more numbers have common factors) = 139968

GCF(9,5,9,8,6,8,2,9,6,3) x common factors =1 x 139968 = 139968

LCM(9,5,9,8,6,8,2,9,6,3) = ( 9 × 5 × 9 × 8 × 6 × 8 × 2 × 9 × 6 × 3 ) / 139968

LCM(9,5,9,8,6,8,2,9,6,3) = 50388480 / 139968

LCM(9,5,9,8,6,8,2,9,6,3) = 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 15/9, 30/5, 30/9, 88/8, 586/6, 32/8, 89/2, 157/9, 72/6, 60/3

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 15/9, 30/5, 30/9, 88/8, 586/6, 32/8, 89/2, 157/9, 72/6, 60/3?

Answer: GCF of Numerators as per given numbers 15/9, 30/5, 30/9, 88/8, 586/6, 32/8, 89/2, 157/9, 72/6, 60/3 is

GCF of Numerators i.e. for 15,30,30,88,586,32,89,157,72,60 is 1

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

Thus, GCF of Fractions is 1/360.Finally, GCF of Fractions for 15/9, 30/5, 30/9, 88/8, 586/6, 32/8, 89/2, 157/9, 72/6, 60/3 is 1/360.