Greatest Common Factor of 9109/339, 5950/675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9109/339, 5950/675

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 9109/339,5950/675

Given fractions are 9109/339,5950/675

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 9109,5950

Greatest Common Factor of Numerators i.e. GCF of 9109,5950 is 1 .

LCM of Denominators means LCM of 339,675 as per the given fractions.

LCM of 339,675 is 76275 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9109,5950

GCF of Fractions 9109/339,5950/675 is 1/76275

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

Greatest Common Factor of 9109,5950 By Matching Biggest Common Factor Method

Greatest Common Factor of 9109,5950 By Matching Biggest Common Factor Method

Factors of 9109

List of positive integer factors of 9109 that divides 9109 without a remainder.

1,9109

Factors of 5950

List of positive integer factors of 5950 that divides 5950 without a remainder.

1,2,5,7,10,14,17,25,34,35,50,70,85,119,170,175,238,350,425,595,850,1190,2975,5950

Greatest Common Factor

We found the factors 9109,5950 . The biggest common factor number is the GCF number.
So the greatest common factor 9109,5950 is 1.

Lets's calculate LCM of 339,675

3 339, 675
113, 225

∴ So the LCM of the given numbers is 3 x 113 x 225 = 76275

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76275

Therefore, the GCF of Fractions 9109/339,5950/675 is 1/76275

Least Common Multiple of 339,675 with GCF Formula

Least Common Multiple of 339,675 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 339,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(339,675) = 3

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

GCF(339,675) x common factors =3 x 1 = 3

LCM(339,675) = ( 339 × 675 ) / 3

LCM(339,675) = 228825 / 3

LCM(339,675) = 76275


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 9109/339, 5950/675

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 9109/339, 5950/675?

Answer: GCF of Numerators as per given numbers 9109/339, 5950/675 is

GCF of Numerators i.e. for 9109,5950 is 1

LCM of denominators i.e. for 339,675 is 76275.

Thus, GCF of Fractions is 1/76275.Finally, GCF of Fractions for 9109/339, 5950/675 is 1/76275.