Greatest Common Factor of 3643/321, 9624/3108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3643/321, 9624/3108

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 3643/321,9624/3108

Given fractions are 3643/321,9624/3108

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 3643,9624

Greatest Common Factor of Numerators i.e. GCF of 3643,9624 is 1 .

LCM of Denominators means LCM of 321,3108 as per the given fractions.

LCM of 321,3108 is 332556 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3643,9624

GCF of Fractions 3643/321,9624/3108 is 1/332556

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3643,9624 By Matching Biggest Common Factor Method

Greatest Common Factor of 3643,9624 By Matching Biggest Common Factor Method

Factors of 3643

List of positive integer factors of 3643 that divides 3643 without a remainder.

1,3643

Factors of 9624

List of positive integer factors of 9624 that divides 9624 without a remainder.

1,2,3,4,6,8,12,24,401,802,1203,1604,2406,3208,4812,9624

Greatest Common Factor

We found the factors 3643,9624 . The biggest common factor number is the GCF number.
So the greatest common factor 3643,9624 is 1.

Lets's calculate LCM of 321,3108

3 321, 3108
107, 1036

∴ So the LCM of the given numbers is 3 x 107 x 1036 = 332556

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/332556

Therefore, the GCF of Fractions 3643/321,9624/3108 is 1/332556

Least Common Multiple of 321,3108 with GCF Formula

Least Common Multiple of 321,3108 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 321,3108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(321,3108) = 3

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

GCF(321,3108) x common factors =3 x 1 = 3

LCM(321,3108) = ( 321 × 3108 ) / 3

LCM(321,3108) = 997668 / 3

LCM(321,3108) = 332556


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 3643/321, 9624/3108

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 3643/321, 9624/3108?

Answer: GCF of Numerators as per given numbers 3643/321, 9624/3108 is

GCF of Numerators i.e. for 3643,9624 is 1

LCM of denominators i.e. for 321,3108 is 332556.

Thus, GCF of Fractions is 1/332556.Finally, GCF of Fractions for 3643/321, 9624/3108 is 1/332556.