Greatest Common Factor of 6291/728, 9439/7263

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6291/728, 9439/7263

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 6291/728,9439/7263

Given fractions are 6291/728,9439/7263

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 6291,9439

Greatest Common Factor of Numerators i.e. GCF of 6291,9439 is 1 .

LCM of Denominators means LCM of 728,7263 as per the given fractions.

LCM of 728,7263 is 5287464 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6291,9439

GCF of Fractions 6291/728,9439/7263 is 1/5287464

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

Greatest Common Factor of 6291,9439 By Matching Biggest Common Factor Method

Greatest Common Factor of 6291,9439 By Matching Biggest Common Factor Method

Factors of 6291

List of positive integer factors of 6291 that divides 6291 without a remainder.

1,3,9,27,233,699,2097,6291

Factors of 9439

List of positive integer factors of 9439 that divides 9439 without a remainder.

1,9439

Greatest Common Factor

We found the factors 6291,9439 . The biggest common factor number is the GCF number.
So the greatest common factor 6291,9439 is 1.

Lets's calculate LCM of 728,7263

Given numbers has no common factors except 1. So, there LCM is their product i.e 5287464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5287464

Therefore, the GCF of Fractions 6291/728,9439/7263 is 1/5287464

Least Common Multiple of 728,7263 with GCF Formula

Least Common Multiple of 728,7263 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 728,7263 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(728,7263) = 1

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

GCF(728,7263) x common factors =1 x 1 = 1

LCM(728,7263) = ( 728 × 7263 ) / 1

LCM(728,7263) = 5287464 / 1

LCM(728,7263) = 5287464


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 6291/728, 9439/7263

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 6291/728, 9439/7263?

Answer: GCF of Numerators as per given numbers 6291/728, 9439/7263 is

GCF of Numerators i.e. for 6291,9439 is 1

LCM of denominators i.e. for 728,7263 is 5287464.

Thus, GCF of Fractions is 1/5287464.Finally, GCF of Fractions for 6291/728, 9439/7263 is 1/5287464.