Greatest Common Factor of 65/91, 13/30, 598/819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 65/91, 13/30, 598/819

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 65/91,13/30,598/819

Given fractions are 65/91,13/30,598/819

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 65,13,598

Greatest Common Factor of Numerators i.e. GCF of 65,13,598 is 13 .

LCM of Denominators means LCM of 91,30,819 as per the given fractions.

LCM of 91,30,819 is 8190 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 65,13,598

GCF of Fractions 65/91,13/30,598/819 is 13/8190

13 65, 13, 598
5, 1, 46

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

Greatest Common Factor of 65,13,598 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,13,598 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 13

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

1,13

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Greatest Common Factor

We found the factors 65,13,598 . The biggest common factor number is the GCF number.
So the greatest common factor 65,13,598 is 13.

Lets's calculate LCM of 91,30,819

3 91, 30, 819
7 91, 10, 273
13 13, 10, 39
1, 10, 3

∴ So the LCM of the given numbers is 3 x 7 x 13 x 1 x 10 x 3 = 8190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/8190

Therefore, the GCF of Fractions 65/91,13/30,598/819 is 13/8190

Least Common Multiple of 91,30,819 with GCF Formula

Least Common Multiple of 91,30,819 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 91,30,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,30,819) = 1

common factors(in case of two or more numbers have common factors) = 273

GCF(91,30,819) x common factors =1 x 273 = 273

LCM(91,30,819) = ( 91 × 30 × 819 ) / 273

LCM(91,30,819) = 2235870 / 273

LCM(91,30,819) = 8190


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 65/91, 13/30, 598/819

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 65/91, 13/30, 598/819?

Answer: GCF of Numerators as per given numbers 65/91, 13/30, 598/819 is

GCF of Numerators i.e. for 65,13,598 is 13

LCM of denominators i.e. for 91,30,819 is 8190.

Thus, GCF of Fractions is 13/8190.Finally, GCF of Fractions for 65/91, 13/30, 598/819 is 13/8190.