Greatest Common Factor of 128/37, 595/268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 128/37, 595/268

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 128/37,595/268

Given fractions are 128/37,595/268

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 128,595

Greatest Common Factor of Numerators i.e. GCF of 128,595 is 1 .

LCM of Denominators means LCM of 37,268 as per the given fractions.

LCM of 37,268 is 9916 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 128,595

GCF of Fractions 128/37,595/268 is 1/9916

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

Greatest Common Factor of 128,595 By Matching Biggest Common Factor Method

Greatest Common Factor of 128,595 By Matching Biggest Common Factor Method

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Greatest Common Factor

We found the factors 128,595 . The biggest common factor number is the GCF number.
So the greatest common factor 128,595 is 1.

Lets's calculate LCM of 37,268

Given numbers has no common factors except 1. So, there LCM is their product i.e 9916

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9916

Therefore, the GCF of Fractions 128/37,595/268 is 1/9916

Least Common Multiple of 37,268 with GCF Formula

Least Common Multiple of 37,268 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 37,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,268) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(37,268) x common factors =1 x 1 = 1

LCM(37,268) = ( 37 × 268 ) / 1

LCM(37,268) = 9916 / 1

LCM(37,268) = 9916


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 128/37, 595/268

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 128/37, 595/268?

Answer: GCF of Numerators as per given numbers 128/37, 595/268 is

GCF of Numerators i.e. for 128,595 is 1

LCM of denominators i.e. for 37,268 is 9916.

Thus, GCF of Fractions is 1/9916.Finally, GCF of Fractions for 128/37, 595/268 is 1/9916.