Greatest Common Factor of 9411/207, 8938/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9411/207, 8938/822

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 9411/207,8938/822

Given fractions are 9411/207,8938/822

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 9411,8938

Greatest Common Factor of Numerators i.e. GCF of 9411,8938 is 1 .

LCM of Denominators means LCM of 207,822 as per the given fractions.

LCM of 207,822 is 56718 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9411,8938

GCF of Fractions 9411/207,8938/822 is 1/56718

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

Greatest Common Factor of 9411,8938 By Matching Biggest Common Factor Method

Greatest Common Factor of 9411,8938 By Matching Biggest Common Factor Method

Factors of 9411

List of positive integer factors of 9411 that divides 9411 without a remainder.

1,3,3137,9411

Factors of 8938

List of positive integer factors of 8938 that divides 8938 without a remainder.

1,2,41,82,109,218,4469,8938

Greatest Common Factor

We found the factors 9411,8938 . The biggest common factor number is the GCF number.
So the greatest common factor 9411,8938 is 1.

Lets's calculate LCM of 207,822

3 207, 822
69, 274

∴ So the LCM of the given numbers is 3 x 69 x 274 = 56718

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56718

Therefore, the GCF of Fractions 9411/207,8938/822 is 1/56718

Least Common Multiple of 207,822 with GCF Formula

Least Common Multiple of 207,822 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 207,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(207,822) = 3

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

GCF(207,822) x common factors =3 x 1 = 3

LCM(207,822) = ( 207 × 822 ) / 3

LCM(207,822) = 170154 / 3

LCM(207,822) = 56718


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 9411/207, 8938/822

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 9411/207, 8938/822?

Answer: GCF of Numerators as per given numbers 9411/207, 8938/822 is

GCF of Numerators i.e. for 9411,8938 is 1

LCM of denominators i.e. for 207,822 is 56718.

Thus, GCF of Fractions is 1/56718.Finally, GCF of Fractions for 9411/207, 8938/822 is 1/56718.