Greatest Common Factor of 8799/517, 9432/275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8799/517, 9432/275

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 8799/517,9432/275

Given fractions are 8799/517,9432/275

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 8799,9432

Greatest Common Factor of Numerators i.e. GCF of 8799,9432 is 3 .

LCM of Denominators means LCM of 517,275 as per the given fractions.

LCM of 517,275 is 12925 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8799,9432

GCF of Fractions 8799/517,9432/275 is 3/12925

3 8799, 9432
2933, 3144

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 8799,9432 By Matching Biggest Common Factor Method

Greatest Common Factor of 8799,9432 By Matching Biggest Common Factor Method

Factors of 8799

List of positive integer factors of 8799 that divides 8799 without a remainder.

1,3,7,21,419,1257,2933,8799

Factors of 9432

List of positive integer factors of 9432 that divides 9432 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,131,262,393,524,786,1048,1179,1572,2358,3144,4716,9432

Greatest Common Factor

We found the factors 8799,9432 . The biggest common factor number is the GCF number.
So the greatest common factor 8799,9432 is 3.

Lets's calculate LCM of 517,275

11 517, 275
47, 25

∴ So the LCM of the given numbers is 11 x 47 x 25 = 12925

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/12925

Therefore, the GCF of Fractions 8799/517,9432/275 is 3/12925

Least Common Multiple of 517,275 with GCF Formula

Least Common Multiple of 517,275 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 517,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(517,275) = 11

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

GCF(517,275) x common factors =11 x 1 = 11

LCM(517,275) = ( 517 × 275 ) / 11

LCM(517,275) = 142175 / 11

LCM(517,275) = 12925


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 8799/517, 9432/275

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 8799/517, 9432/275?

Answer: GCF of Numerators as per given numbers 8799/517, 9432/275 is

GCF of Numerators i.e. for 8799,9432 is 3

LCM of denominators i.e. for 517,275 is 12925.

Thus, GCF of Fractions is 3/12925.Finally, GCF of Fractions for 8799/517, 9432/275 is 3/12925.