Greatest Common Factor of 9335/23, 3009/547

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9335/23, 3009/547

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 9335/23,3009/547

Given fractions are 9335/23,3009/547

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 9335,3009

Greatest Common Factor of Numerators i.e. GCF of 9335,3009 is 1 .

LCM of Denominators means LCM of 23,547 as per the given fractions.

LCM of 23,547 is 12581 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9335,3009

GCF of Fractions 9335/23,3009/547 is 1/12581

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

Greatest Common Factor of 9335,3009 By Matching Biggest Common Factor Method

Greatest Common Factor of 9335,3009 By Matching Biggest Common Factor Method

Factors of 9335

List of positive integer factors of 9335 that divides 9335 without a remainder.

1,5,1867,9335

Factors of 3009

List of positive integer factors of 3009 that divides 3009 without a remainder.

1,3,17,51,59,177,1003,3009

Greatest Common Factor

We found the factors 9335,3009 . The biggest common factor number is the GCF number.
So the greatest common factor 9335,3009 is 1.

Lets's calculate LCM of 23,547

Given numbers has no common factors except 1. So, there LCM is their product i.e 12581

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12581

Therefore, the GCF of Fractions 9335/23,3009/547 is 1/12581

Least Common Multiple of 23,547 with GCF Formula

Least Common Multiple of 23,547 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 23,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,547) = 1

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

GCF(23,547) x common factors =1 x 1 = 1

LCM(23,547) = ( 23 × 547 ) / 1

LCM(23,547) = 12581 / 1

LCM(23,547) = 12581


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 9335/23, 3009/547

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 9335/23, 3009/547?

Answer: GCF of Numerators as per given numbers 9335/23, 3009/547 is

GCF of Numerators i.e. for 9335,3009 is 1

LCM of denominators i.e. for 23,547 is 12581.

Thus, GCF of Fractions is 1/12581.Finally, GCF of Fractions for 9335/23, 3009/547 is 1/12581.