Greatest Common Factor of 325/3682, 676/9609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 325/3682, 676/9609

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 325/3682,676/9609

Given fractions are 325/3682,676/9609

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 325,676

Greatest Common Factor of Numerators i.e. GCF of 325,676 is 13 .

LCM of Denominators means LCM of 3682,9609 as per the given fractions.

LCM of 3682,9609 is 35380338 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 325,676

GCF of Fractions 325/3682,676/9609 is 13/35380338

13 325, 676
25, 52

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

Greatest Common Factor of 325,676 By Matching Biggest Common Factor Method

Greatest Common Factor of 325,676 By Matching Biggest Common Factor Method

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Greatest Common Factor

We found the factors 325,676 . The biggest common factor number is the GCF number.
So the greatest common factor 325,676 is 13.

Lets's calculate LCM of 3682,9609

Given numbers has no common factors except 1. So, there LCM is their product i.e 35380338

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/35380338

Therefore, the GCF of Fractions 325/3682,676/9609 is 13/35380338

Least Common Multiple of 3682,9609 with GCF Formula

Least Common Multiple of 3682,9609 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 3682,9609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3682,9609) = 1

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

GCF(3682,9609) x common factors =1 x 1 = 1

LCM(3682,9609) = ( 3682 × 9609 ) / 1

LCM(3682,9609) = 35380338 / 1

LCM(3682,9609) = 35380338


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 325/3682, 676/9609

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 325/3682, 676/9609?

Answer: GCF of Numerators as per given numbers 325/3682, 676/9609 is

GCF of Numerators i.e. for 325,676 is 13

LCM of denominators i.e. for 3682,9609 is 35380338.

Thus, GCF of Fractions is 13/35380338.Finally, GCF of Fractions for 325/3682, 676/9609 is 13/35380338.