Greatest Common Factor of 991/48, 137/39, 960/158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 991/48, 137/39, 960/158

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 991/48,137/39,960/158

Given fractions are 991/48,137/39,960/158

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 991,137,960

Greatest Common Factor of Numerators i.e. GCF of 991,137,960 is 1 .

LCM of Denominators means LCM of 48,39,158 as per the given fractions.

LCM of 48,39,158 is 49296 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 991,137,960

GCF of Fractions 991/48,137/39,960/158 is 1/49296

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

Greatest Common Factor of 991,137,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 991,137,960 By Matching Biggest Common Factor Method

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 991,137,960 . The biggest common factor number is the GCF number.
So the greatest common factor 991,137,960 is 1.

Lets's calculate LCM of 48,39,158

2 48, 39, 158
3 24, 39, 79
8, 13, 79

∴ So the LCM of the given numbers is 2 x 3 x 8 x 13 x 79 = 49296

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49296

Therefore, the GCF of Fractions 991/48,137/39,960/158 is 1/49296

Least Common Multiple of 48,39,158 with GCF Formula

Least Common Multiple of 48,39,158 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 48,39,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,39,158) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(48,39,158) x common factors =1 x 6 = 6

LCM(48,39,158) = ( 48 × 39 × 158 ) / 6

LCM(48,39,158) = 295776 / 6

LCM(48,39,158) = 49296


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 991/48, 137/39, 960/158

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 991/48, 137/39, 960/158?

Answer: GCF of Numerators as per given numbers 991/48, 137/39, 960/158 is

GCF of Numerators i.e. for 991,137,960 is 1

LCM of denominators i.e. for 48,39,158 is 49296.

Thus, GCF of Fractions is 1/49296.Finally, GCF of Fractions for 991/48, 137/39, 960/158 is 1/49296.