Greatest Common Factor of 9775/21, 8211/957

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9775/21, 8211/957

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 9775/21,8211/957

Given fractions are 9775/21,8211/957

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 9775,8211

Greatest Common Factor of Numerators i.e. GCF of 9775,8211 is 391 .

LCM of Denominators means LCM of 21,957 as per the given fractions.

LCM of 21,957 is 6699 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9775,8211

GCF of Fractions 9775/21,8211/957 is 391/6699

17 9775, 8211
23 575, 483
25, 21

∴ So the GCF of the given numbers is 17 x 23 = 391

Greatest Common Factor of 9775,8211 By Matching Biggest Common Factor Method

Greatest Common Factor of 9775,8211 By Matching Biggest Common Factor Method

Factors of 9775

List of positive integer factors of 9775 that divides 9775 without a remainder.

1,5,17,23,25,85,115,391,425,575,1955,9775

Factors of 8211

List of positive integer factors of 8211 that divides 8211 without a remainder.

1,3,7,17,21,23,51,69,119,161,357,391,483,1173,2737,8211

Greatest Common Factor

We found the factors 9775,8211 . The biggest common factor number is the GCF number.
So the greatest common factor 9775,8211 is 391.

Lets's calculate LCM of 21,957

3 21, 957
7, 319

∴ So the LCM of the given numbers is 3 x 7 x 319 = 6699

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 391/6699

Therefore, the GCF of Fractions 9775/21,8211/957 is 391/6699

Least Common Multiple of 21,957 with GCF Formula

Least Common Multiple of 21,957 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 21,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,957) = 3

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

GCF(21,957) x common factors =3 x 1 = 3

LCM(21,957) = ( 21 × 957 ) / 3

LCM(21,957) = 20097 / 3

LCM(21,957) = 6699


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 9775/21, 8211/957

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 9775/21, 8211/957?

Answer: GCF of Numerators as per given numbers 9775/21, 8211/957 is

GCF of Numerators i.e. for 9775,8211 is 391

LCM of denominators i.e. for 21,957 is 6699.

Thus, GCF of Fractions is 391/6699.Finally, GCF of Fractions for 9775/21, 8211/957 is 391/6699.