Greatest Common Factor of 9695/65, 6425/507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9695/65, 6425/507

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 9695/65,6425/507

Given fractions are 9695/65,6425/507

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 9695,6425

Greatest Common Factor of Numerators i.e. GCF of 9695,6425 is 5 .

LCM of Denominators means LCM of 65,507 as per the given fractions.

LCM of 65,507 is 2535 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9695,6425

GCF of Fractions 9695/65,6425/507 is 5/2535

5 9695, 6425
1939, 1285

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

Greatest Common Factor of 9695,6425 By Matching Biggest Common Factor Method

Greatest Common Factor of 9695,6425 By Matching Biggest Common Factor Method

Factors of 9695

List of positive integer factors of 9695 that divides 9695 without a remainder.

1,5,7,35,277,1385,1939,9695

Factors of 6425

List of positive integer factors of 6425 that divides 6425 without a remainder.

1,5,25,257,1285,6425

Greatest Common Factor

We found the factors 9695,6425 . The biggest common factor number is the GCF number.
So the greatest common factor 9695,6425 is 5.

Lets's calculate LCM of 65,507

13 65, 507
5, 39

∴ So the LCM of the given numbers is 13 x 5 x 39 = 2535

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2535

Therefore, the GCF of Fractions 9695/65,6425/507 is 5/2535

Least Common Multiple of 65,507 with GCF Formula

Least Common Multiple of 65,507 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 65,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,507) = 13

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

GCF(65,507) x common factors =13 x 1 = 13

LCM(65,507) = ( 65 × 507 ) / 13

LCM(65,507) = 32955 / 13

LCM(65,507) = 2535


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 9695/65, 6425/507

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 9695/65, 6425/507?

Answer: GCF of Numerators as per given numbers 9695/65, 6425/507 is

GCF of Numerators i.e. for 9695,6425 is 5

LCM of denominators i.e. for 65,507 is 2535.

Thus, GCF of Fractions is 5/2535.Finally, GCF of Fractions for 9695/65, 6425/507 is 5/2535.