Greatest Common Factor of 30/80, 12/91, 56/76, 149/75

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 30/80, 12/91, 56/76, 149/75

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 30/80,12/91,56/76,149/75

Given fractions are 30/80,12/91,56/76,149/75

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 30,12,56,149

Greatest Common Factor of Numerators i.e. GCF of 30,12,56,149 is 1 .

LCM of Denominators means LCM of 80,91,76,75 as per the given fractions.

LCM of 80,91,76,75 is 2074800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 30,12,56,149

GCF of Fractions 30/80,12/91,56/76,149/75 is 1/2074800

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

Greatest Common Factor of 30,12,56,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,12,56,149 By Matching Biggest Common Factor Method

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 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

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 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Greatest Common Factor

We found the factors 30,12,56,149 . The biggest common factor number is the GCF number.
So the greatest common factor 30,12,56,149 is 1.

Lets's calculate LCM of 80,91,76,75

2 80, 91, 76, 75
2 40, 91, 38, 75
5 20, 91, 19, 75
4, 91, 19, 15

∴ So the LCM of the given numbers is 2 x 2 x 5 x 4 x 91 x 19 x 15 = 2074800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2074800

Therefore, the GCF of Fractions 30/80,12/91,56/76,149/75 is 1/2074800

Least Common Multiple of 80,91,76,75 with GCF Formula

Least Common Multiple of 80,91,76,75 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 80,91,76,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,91,76,75) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(80,91,76,75) x common factors =1 x 20 = 20

LCM(80,91,76,75) = ( 80 × 91 × 76 × 75 ) / 20

LCM(80,91,76,75) = 41496000 / 20

LCM(80,91,76,75) = 2074800


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 30/80, 12/91, 56/76, 149/75

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 30/80, 12/91, 56/76, 149/75?

Answer: GCF of Numerators as per given numbers 30/80, 12/91, 56/76, 149/75 is

GCF of Numerators i.e. for 30,12,56,149 is 1

LCM of denominators i.e. for 80,91,76,75 is 2074800.

Thus, GCF of Fractions is 1/2074800.Finally, GCF of Fractions for 30/80, 12/91, 56/76, 149/75 is 1/2074800.