Greatest Common Factor of 65/513, 5735/7969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 65/513, 5735/7969

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 65/513,5735/7969

Given fractions are 65/513,5735/7969

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 65,5735

Greatest Common Factor of Numerators i.e. GCF of 65,5735 is 5 .

LCM of Denominators means LCM of 513,7969 as per the given fractions.

LCM of 513,7969 is 4088097 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 65,5735

GCF of Fractions 65/513,5735/7969 is 5/4088097

5 65, 5735
13, 1147

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 65,5735 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,5735 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 5735

List of positive integer factors of 5735 that divides 5735 without a remainder.

1,5,31,37,155,185,1147,5735

Greatest Common Factor

We found the factors 65,5735 . The biggest common factor number is the GCF number.
So the greatest common factor 65,5735 is 5.

Lets's calculate LCM of 513,7969

Given numbers has no common factors except 1. So, there LCM is their product i.e 4088097

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/4088097

Therefore, the GCF of Fractions 65/513,5735/7969 is 5/4088097

Least Common Multiple of 513,7969 with GCF Formula

Least Common Multiple of 513,7969 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 513,7969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(513,7969) = 1

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

GCF(513,7969) x common factors =1 x 1 = 1

LCM(513,7969) = ( 513 × 7969 ) / 1

LCM(513,7969) = 4088097 / 1

LCM(513,7969) = 4088097


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 65/513, 5735/7969

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 65/513, 5735/7969?

Answer: GCF of Numerators as per given numbers 65/513, 5735/7969 is

GCF of Numerators i.e. for 65,5735 is 5

LCM of denominators i.e. for 513,7969 is 4088097.

Thus, GCF of Fractions is 5/4088097.Finally, GCF of Fractions for 65/513, 5735/7969 is 5/4088097.