Greatest Common Factor of 9811/728, 6271/302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9811/728, 6271/302

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 9811/728,6271/302

Given fractions are 9811/728,6271/302

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 9811,6271

Greatest Common Factor of Numerators i.e. GCF of 9811,6271 is 1 .

LCM of Denominators means LCM of 728,302 as per the given fractions.

LCM of 728,302 is 109928 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9811,6271

GCF of Fractions 9811/728,6271/302 is 1/109928

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

Greatest Common Factor of 9811,6271 By Matching Biggest Common Factor Method

Greatest Common Factor of 9811,6271 By Matching Biggest Common Factor Method

Factors of 9811

List of positive integer factors of 9811 that divides 9811 without a remainder.

1,9811

Factors of 6271

List of positive integer factors of 6271 that divides 6271 without a remainder.

1,6271

Greatest Common Factor

We found the factors 9811,6271 . The biggest common factor number is the GCF number.
So the greatest common factor 9811,6271 is 1.

Lets's calculate LCM of 728,302

2 728, 302
364, 151

∴ So the LCM of the given numbers is 2 x 364 x 151 = 109928

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/109928

Therefore, the GCF of Fractions 9811/728,6271/302 is 1/109928

Least Common Multiple of 728,302 with GCF Formula

Least Common Multiple of 728,302 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 728,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(728,302) = 2

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

GCF(728,302) x common factors =2 x 1 = 2

LCM(728,302) = ( 728 × 302 ) / 2

LCM(728,302) = 219856 / 2

LCM(728,302) = 109928


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 9811/728, 6271/302

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 9811/728, 6271/302?

Answer: GCF of Numerators as per given numbers 9811/728, 6271/302 is

GCF of Numerators i.e. for 9811,6271 is 1

LCM of denominators i.e. for 728,302 is 109928.

Thus, GCF of Fractions is 1/109928.Finally, GCF of Fractions for 9811/728, 6271/302 is 1/109928.