Greatest Common Factor of 9665/51, 7359/300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9665/51, 7359/300

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 9665/51,7359/300

Given fractions are 9665/51,7359/300

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 9665,7359

Greatest Common Factor of Numerators i.e. GCF of 9665,7359 is 1 .

LCM of Denominators means LCM of 51,300 as per the given fractions.

LCM of 51,300 is 5100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9665,7359

GCF of Fractions 9665/51,7359/300 is 1/5100

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

Greatest Common Factor of 9665,7359 By Matching Biggest Common Factor Method

Greatest Common Factor of 9665,7359 By Matching Biggest Common Factor Method

Factors of 9665

List of positive integer factors of 9665 that divides 9665 without a remainder.

1,5,1933,9665

Factors of 7359

List of positive integer factors of 7359 that divides 7359 without a remainder.

1,3,11,33,223,669,2453,7359

Greatest Common Factor

We found the factors 9665,7359 . The biggest common factor number is the GCF number.
So the greatest common factor 9665,7359 is 1.

Lets's calculate LCM of 51,300

3 51, 300
17, 100

∴ So the LCM of the given numbers is 3 x 17 x 100 = 5100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5100

Therefore, the GCF of Fractions 9665/51,7359/300 is 1/5100

Least Common Multiple of 51,300 with GCF Formula

Least Common Multiple of 51,300 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 51,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,300) = 3

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

GCF(51,300) x common factors =3 x 1 = 3

LCM(51,300) = ( 51 × 300 ) / 3

LCM(51,300) = 15300 / 3

LCM(51,300) = 5100


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 9665/51, 7359/300

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 9665/51, 7359/300?

Answer: GCF of Numerators as per given numbers 9665/51, 7359/300 is

GCF of Numerators i.e. for 9665,7359 is 1

LCM of denominators i.e. for 51,300 is 5100.

Thus, GCF of Fractions is 1/5100.Finally, GCF of Fractions for 9665/51, 7359/300 is 1/5100.