Greatest Common Factor of 13/15, 91/89, 897/405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 13/15, 91/89, 897/405

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 13/15,91/89,897/405

Given fractions are 13/15,91/89,897/405

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 13,91,897

Greatest Common Factor of Numerators i.e. GCF of 13,91,897 is 13 .

LCM of Denominators means LCM of 15,89,405 as per the given fractions.

LCM of 15,89,405 is 36045 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 13,91,897

GCF of Fractions 13/15,91/89,897/405 is 13/36045

13 13, 91, 897
1, 7, 69

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 13,91,897 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,91,897 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1,3,13,23,39,69,299,897

Greatest Common Factor

We found the factors 13,91,897 . The biggest common factor number is the GCF number.
So the greatest common factor 13,91,897 is 13.

Lets's calculate LCM of 15,89,405

3 15, 89, 405
5 5, 89, 135
1, 89, 27

∴ So the LCM of the given numbers is 3 x 5 x 1 x 89 x 27 = 36045

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/36045

Therefore, the GCF of Fractions 13/15,91/89,897/405 is 13/36045

Least Common Multiple of 15,89,405 with GCF Formula

Least Common Multiple of 15,89,405 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 15,89,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,89,405) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(15,89,405) x common factors =1 x 15 = 15

LCM(15,89,405) = ( 15 × 89 × 405 ) / 15

LCM(15,89,405) = 540675 / 15

LCM(15,89,405) = 36045


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 13/15, 91/89, 897/405

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 13/15, 91/89, 897/405?

Answer: GCF of Numerators as per given numbers 13/15, 91/89, 897/405 is

GCF of Numerators i.e. for 13,91,897 is 13

LCM of denominators i.e. for 15,89,405 is 36045.

Thus, GCF of Fractions is 13/36045.Finally, GCF of Fractions for 13/15, 91/89, 897/405 is 13/36045.