Greatest Common Factor of 7327/36, 6149/256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7327/36, 6149/256

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 7327/36,6149/256

Given fractions are 7327/36,6149/256

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 7327,6149

Greatest Common Factor of Numerators i.e. GCF of 7327,6149 is 1 .

LCM of Denominators means LCM of 36,256 as per the given fractions.

LCM of 36,256 is 2304 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7327,6149

GCF of Fractions 7327/36,6149/256 is 1/2304

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

Greatest Common Factor of 7327,6149 By Matching Biggest Common Factor Method

Greatest Common Factor of 7327,6149 By Matching Biggest Common Factor Method

Factors of 7327

List of positive integer factors of 7327 that divides 7327 without a remainder.

1,17,431,7327

Factors of 6149

List of positive integer factors of 6149 that divides 6149 without a remainder.

1,11,13,43,143,473,559,6149

Greatest Common Factor

We found the factors 7327,6149 . The biggest common factor number is the GCF number.
So the greatest common factor 7327,6149 is 1.

Lets's calculate LCM of 36,256

2 36, 256
2 18, 128
9, 64

∴ So the LCM of the given numbers is 2 x 2 x 9 x 64 = 2304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2304

Therefore, the GCF of Fractions 7327/36,6149/256 is 1/2304

Least Common Multiple of 36,256 with GCF Formula

Least Common Multiple of 36,256 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 36,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,256) = 4

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

GCF(36,256) x common factors =4 x 1 = 4

LCM(36,256) = ( 36 × 256 ) / 4

LCM(36,256) = 9216 / 4

LCM(36,256) = 2304


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 7327/36, 6149/256

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 7327/36, 6149/256?

Answer: GCF of Numerators as per given numbers 7327/36, 6149/256 is

GCF of Numerators i.e. for 7327,6149 is 1

LCM of denominators i.e. for 36,256 is 2304.

Thus, GCF of Fractions is 1/2304.Finally, GCF of Fractions for 7327/36, 6149/256 is 1/2304.