Greatest Common Factor of 9367/575, 7548/871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9367/575, 7548/871

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 9367/575,7548/871

Given fractions are 9367/575,7548/871

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 9367,7548

Greatest Common Factor of Numerators i.e. GCF of 9367,7548 is 17 .

LCM of Denominators means LCM of 575,871 as per the given fractions.

LCM of 575,871 is 500825 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9367,7548

GCF of Fractions 9367/575,7548/871 is 17/500825

17 9367, 7548
551, 444

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 9367,7548 By Matching Biggest Common Factor Method

Greatest Common Factor of 9367,7548 By Matching Biggest Common Factor Method

Factors of 9367

List of positive integer factors of 9367 that divides 9367 without a remainder.

1,17,19,29,323,493,551,9367

Factors of 7548

List of positive integer factors of 7548 that divides 7548 without a remainder.

1,2,3,4,6,12,17,34,37,51,68,74,102,111,148,204,222,444,629,1258,1887,2516,3774,7548

Greatest Common Factor

We found the factors 9367,7548 . The biggest common factor number is the GCF number.
So the greatest common factor 9367,7548 is 17.

Lets's calculate LCM of 575,871

Given numbers has no common factors except 1. So, there LCM is their product i.e 500825

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/500825

Therefore, the GCF of Fractions 9367/575,7548/871 is 17/500825

Least Common Multiple of 575,871 with GCF Formula

Least Common Multiple of 575,871 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 575,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(575,871) = 1

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

GCF(575,871) x common factors =1 x 1 = 1

LCM(575,871) = ( 575 × 871 ) / 1

LCM(575,871) = 500825 / 1

LCM(575,871) = 500825


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 9367/575, 7548/871

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 9367/575, 7548/871?

Answer: GCF of Numerators as per given numbers 9367/575, 7548/871 is

GCF of Numerators i.e. for 9367,7548 is 17

LCM of denominators i.e. for 575,871 is 500825.

Thus, GCF of Fractions is 17/500825.Finally, GCF of Fractions for 9367/575, 7548/871 is 17/500825.