Greatest Common Factor of 18/19, 91/80, 119/152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 18/19, 91/80, 119/152

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 18/19,91/80,119/152

Given fractions are 18/19,91/80,119/152

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 18,91,119

Greatest Common Factor of Numerators i.e. GCF of 18,91,119 is 1 .

LCM of Denominators means LCM of 19,80,152 as per the given fractions.

LCM of 19,80,152 is 1520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 18,91,119

GCF of Fractions 18/19,91/80,119/152 is 1/1520

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

Greatest Common Factor of 18,91,119 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,91,119 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 91

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

1,7,13,91

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Greatest Common Factor

We found the factors 18,91,119 . The biggest common factor number is the GCF number.
So the greatest common factor 18,91,119 is 1.

Lets's calculate LCM of 19,80,152

2 19, 80, 152
2 19, 40, 76
2 19, 20, 38
19 19, 10, 19
1, 10, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 19 x 1 x 10 x 1 = 1520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1520

Therefore, the GCF of Fractions 18/19,91/80,119/152 is 1/1520

Least Common Multiple of 19,80,152 with GCF Formula

Least Common Multiple of 19,80,152 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 19,80,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,80,152) = 1

common factors(in case of two or more numbers have common factors) = 152

GCF(19,80,152) x common factors =1 x 152 = 152

LCM(19,80,152) = ( 19 × 80 × 152 ) / 152

LCM(19,80,152) = 231040 / 152

LCM(19,80,152) = 1520


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 18/19, 91/80, 119/152

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 18/19, 91/80, 119/152?

Answer: GCF of Numerators as per given numbers 18/19, 91/80, 119/152 is

GCF of Numerators i.e. for 18,91,119 is 1

LCM of denominators i.e. for 19,80,152 is 1520.

Thus, GCF of Fractions is 1/1520.Finally, GCF of Fractions for 18/19, 91/80, 119/152 is 1/1520.