Greatest Common Factor of 7359/93, 2105/135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7359/93, 2105/135

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 7359/93,2105/135

Given fractions are 7359/93,2105/135

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 7359,2105

Greatest Common Factor of Numerators i.e. GCF of 7359,2105 is 1 .

LCM of Denominators means LCM of 93,135 as per the given fractions.

LCM of 93,135 is 4185 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7359,2105

GCF of Fractions 7359/93,2105/135 is 1/4185

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

Greatest Common Factor of 7359,2105 By Matching Biggest Common Factor Method

Greatest Common Factor of 7359,2105 By Matching Biggest Common Factor Method

Factors of 7359

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

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

Factors of 2105

List of positive integer factors of 2105 that divides 2105 without a remainder.

1,5,421,2105

Greatest Common Factor

We found the factors 7359,2105 . The biggest common factor number is the GCF number.
So the greatest common factor 7359,2105 is 1.

Lets's calculate LCM of 93,135

3 93, 135
31, 45

∴ So the LCM of the given numbers is 3 x 31 x 45 = 4185

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4185

Therefore, the GCF of Fractions 7359/93,2105/135 is 1/4185

Least Common Multiple of 93,135 with GCF Formula

Least Common Multiple of 93,135 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 93,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,135) = 3

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

GCF(93,135) x common factors =3 x 1 = 3

LCM(93,135) = ( 93 × 135 ) / 3

LCM(93,135) = 12555 / 3

LCM(93,135) = 4185


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 7359/93, 2105/135

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 7359/93, 2105/135?

Answer: GCF of Numerators as per given numbers 7359/93, 2105/135 is

GCF of Numerators i.e. for 7359,2105 is 1

LCM of denominators i.e. for 93,135 is 4185.

Thus, GCF of Fractions is 1/4185.Finally, GCF of Fractions for 7359/93, 2105/135 is 1/4185.