Greatest Common Factor of 272/884, 6903/9822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 272/884, 6903/9822

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 272/884,6903/9822

Given fractions are 272/884,6903/9822

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 272,6903

Greatest Common Factor of Numerators i.e. GCF of 272,6903 is 1 .

LCM of Denominators means LCM of 884,9822 as per the given fractions.

LCM of 884,9822 is 4341324 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 272,6903

GCF of Fractions 272/884,6903/9822 is 1/4341324

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

Greatest Common Factor of 272,6903 By Matching Biggest Common Factor Method

Greatest Common Factor of 272,6903 By Matching Biggest Common Factor Method

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Factors of 6903

List of positive integer factors of 6903 that divides 6903 without a remainder.

1,3,9,13,39,59,117,177,531,767,2301,6903

Greatest Common Factor

We found the factors 272,6903 . The biggest common factor number is the GCF number.
So the greatest common factor 272,6903 is 1.

Lets's calculate LCM of 884,9822

2 884, 9822
442, 4911

∴ So the LCM of the given numbers is 2 x 442 x 4911 = 4341324

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4341324

Therefore, the GCF of Fractions 272/884,6903/9822 is 1/4341324

Least Common Multiple of 884,9822 with GCF Formula

Least Common Multiple of 884,9822 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 884,9822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(884,9822) = 2

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

GCF(884,9822) x common factors =2 x 1 = 2

LCM(884,9822) = ( 884 × 9822 ) / 2

LCM(884,9822) = 8682648 / 2

LCM(884,9822) = 4341324


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 272/884, 6903/9822

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 272/884, 6903/9822?

Answer: GCF of Numerators as per given numbers 272/884, 6903/9822 is

GCF of Numerators i.e. for 272,6903 is 1

LCM of denominators i.e. for 884,9822 is 4341324.

Thus, GCF of Fractions is 1/4341324.Finally, GCF of Fractions for 272/884, 6903/9822 is 1/4341324.