Greatest Common Factor of 7206/299, 3002/3579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7206/299, 3002/3579

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 7206/299,3002/3579

Given fractions are 7206/299,3002/3579

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 7206,3002

Greatest Common Factor of Numerators i.e. GCF of 7206,3002 is 2 .

LCM of Denominators means LCM of 299,3579 as per the given fractions.

LCM of 299,3579 is 1070121 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7206,3002

GCF of Fractions 7206/299,3002/3579 is 2/1070121

2 7206, 3002
3603, 1501

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7206,3002 By Matching Biggest Common Factor Method

Greatest Common Factor of 7206,3002 By Matching Biggest Common Factor Method

Factors of 7206

List of positive integer factors of 7206 that divides 7206 without a remainder.

1,2,3,6,1201,2402,3603,7206

Factors of 3002

List of positive integer factors of 3002 that divides 3002 without a remainder.

1,2,19,38,79,158,1501,3002

Greatest Common Factor

We found the factors 7206,3002 . The biggest common factor number is the GCF number.
So the greatest common factor 7206,3002 is 2.

Lets's calculate LCM of 299,3579

Given numbers has no common factors except 1. So, there LCM is their product i.e 1070121

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1070121

Therefore, the GCF of Fractions 7206/299,3002/3579 is 2/1070121

Least Common Multiple of 299,3579 with GCF Formula

Least Common Multiple of 299,3579 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 299,3579 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(299,3579) = 1

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

GCF(299,3579) x common factors =1 x 1 = 1

LCM(299,3579) = ( 299 × 3579 ) / 1

LCM(299,3579) = 1070121 / 1

LCM(299,3579) = 1070121


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 7206/299, 3002/3579

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 7206/299, 3002/3579?

Answer: GCF of Numerators as per given numbers 7206/299, 3002/3579 is

GCF of Numerators i.e. for 7206,3002 is 2

LCM of denominators i.e. for 299,3579 is 1070121.

Thus, GCF of Fractions is 2/1070121.Finally, GCF of Fractions for 7206/299, 3002/3579 is 2/1070121.