Greatest Common Factor of 151/99, 596/96, 137/53

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 151/99, 596/96, 137/53

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 151/99,596/96,137/53

Given fractions are 151/99,596/96,137/53

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 151,596,137

Greatest Common Factor of Numerators i.e. GCF of 151,596,137 is 1 .

LCM of Denominators means LCM of 99,96,53 as per the given fractions.

LCM of 99,96,53 is 167904 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 151,596,137

GCF of Fractions 151/99,596/96,137/53 is 1/167904

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

Greatest Common Factor of 151,596,137 By Matching Biggest Common Factor Method

Greatest Common Factor of 151,596,137 By Matching Biggest Common Factor Method

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1,151

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Factors of 137

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

1,137

Greatest Common Factor

We found the factors 151,596,137 . The biggest common factor number is the GCF number.
So the greatest common factor 151,596,137 is 1.

Lets's calculate LCM of 99,96,53

3 99, 96, 53
33, 32, 53

∴ So the LCM of the given numbers is 3 x 33 x 32 x 53 = 167904

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/167904

Therefore, the GCF of Fractions 151/99,596/96,137/53 is 1/167904

Least Common Multiple of 99,96,53 with GCF Formula

Least Common Multiple of 99,96,53 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 99,96,53 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,96,53) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(99,96,53) x common factors =1 x 3 = 3

LCM(99,96,53) = ( 99 × 96 × 53 ) / 3

LCM(99,96,53) = 503712 / 3

LCM(99,96,53) = 167904


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 151/99, 596/96, 137/53

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 151/99, 596/96, 137/53?

Answer: GCF of Numerators as per given numbers 151/99, 596/96, 137/53 is

GCF of Numerators i.e. for 151,596,137 is 1

LCM of denominators i.e. for 99,96,53 is 167904.

Thus, GCF of Fractions is 1/167904.Finally, GCF of Fractions for 151/99, 596/96, 137/53 is 1/167904.