Greatest Common Factor of 377/256, 832/239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 377/256, 832/239

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 377/256,832/239

Given fractions are 377/256,832/239

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 377,832

Greatest Common Factor of Numerators i.e. GCF of 377,832 is 13 .

LCM of Denominators means LCM of 256,239 as per the given fractions.

LCM of 256,239 is 61184 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 377,832

GCF of Fractions 377/256,832/239 is 13/61184

13 377, 832
29, 64

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 377,832 By Matching Biggest Common Factor Method

Greatest Common Factor of 377,832 By Matching Biggest Common Factor Method

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Greatest Common Factor

We found the factors 377,832 . The biggest common factor number is the GCF number.
So the greatest common factor 377,832 is 13.

Lets's calculate LCM of 256,239

Given numbers has no common factors except 1. So, there LCM is their product i.e 61184

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/61184

Therefore, the GCF of Fractions 377/256,832/239 is 13/61184

Least Common Multiple of 256,239 with GCF Formula

Least Common Multiple of 256,239 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 256,239 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(256,239) = 1

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

GCF(256,239) x common factors =1 x 1 = 1

LCM(256,239) = ( 256 × 239 ) / 1

LCM(256,239) = 61184 / 1

LCM(256,239) = 61184


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 377/256, 832/239

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 377/256, 832/239?

Answer: GCF of Numerators as per given numbers 377/256, 832/239 is

GCF of Numerators i.e. for 377,832 is 13

LCM of denominators i.e. for 256,239 is 61184.

Thus, GCF of Fractions is 13/61184.Finally, GCF of Fractions for 377/256, 832/239 is 13/61184.