Greatest Common Factor of 9366/59, 6634/652

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9366/59, 6634/652

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 9366/59,6634/652

Given fractions are 9366/59,6634/652

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 9366,6634

Greatest Common Factor of Numerators i.e. GCF of 9366,6634 is 2 .

LCM of Denominators means LCM of 59,652 as per the given fractions.

LCM of 59,652 is 38468 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9366,6634

GCF of Fractions 9366/59,6634/652 is 2/38468

2 9366, 6634
4683, 3317

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9366,6634 By Matching Biggest Common Factor Method

Greatest Common Factor of 9366,6634 By Matching Biggest Common Factor Method

Factors of 9366

List of positive integer factors of 9366 that divides 9366 without a remainder.

1,2,3,6,7,14,21,42,223,446,669,1338,1561,3122,4683,9366

Factors of 6634

List of positive integer factors of 6634 that divides 6634 without a remainder.

1,2,31,62,107,214,3317,6634

Greatest Common Factor

We found the factors 9366,6634 . The biggest common factor number is the GCF number.
So the greatest common factor 9366,6634 is 2.

Lets's calculate LCM of 59,652

Given numbers has no common factors except 1. So, there LCM is their product i.e 38468

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/38468

Therefore, the GCF of Fractions 9366/59,6634/652 is 2/38468

Least Common Multiple of 59,652 with GCF Formula

Least Common Multiple of 59,652 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 59,652 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,652) = 1

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

GCF(59,652) x common factors =1 x 1 = 1

LCM(59,652) = ( 59 × 652 ) / 1

LCM(59,652) = 38468 / 1

LCM(59,652) = 38468


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 9366/59, 6634/652

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 9366/59, 6634/652?

Answer: GCF of Numerators as per given numbers 9366/59, 6634/652 is

GCF of Numerators i.e. for 9366,6634 is 2

LCM of denominators i.e. for 59,652 is 38468.

Thus, GCF of Fractions is 2/38468.Finally, GCF of Fractions for 9366/59, 6634/652 is 2/38468.