Greatest Common Factor of 3589/298, 2037/7968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3589/298, 2037/7968

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 3589/298,2037/7968

Given fractions are 3589/298,2037/7968

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 3589,2037

Greatest Common Factor of Numerators i.e. GCF of 3589,2037 is 97 .

LCM of Denominators means LCM of 298,7968 as per the given fractions.

LCM of 298,7968 is 1187232 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3589,2037

GCF of Fractions 3589/298,2037/7968 is 97/1187232

97 3589, 2037
37, 21

∴ So the GCF of the given numbers is 97 = 97

Greatest Common Factor of 3589,2037 By Matching Biggest Common Factor Method

Greatest Common Factor of 3589,2037 By Matching Biggest Common Factor Method

Factors of 3589

List of positive integer factors of 3589 that divides 3589 without a remainder.

1,37,97,3589

Factors of 2037

List of positive integer factors of 2037 that divides 2037 without a remainder.

1,3,7,21,97,291,679,2037

Greatest Common Factor

We found the factors 3589,2037 . The biggest common factor number is the GCF number.
So the greatest common factor 3589,2037 is 97.

Lets's calculate LCM of 298,7968

2 298, 7968
149, 3984

∴ So the LCM of the given numbers is 2 x 149 x 3984 = 1187232

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 97/1187232

Therefore, the GCF of Fractions 3589/298,2037/7968 is 97/1187232

Least Common Multiple of 298,7968 with GCF Formula

Least Common Multiple of 298,7968 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 298,7968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(298,7968) = 2

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

GCF(298,7968) x common factors =2 x 1 = 2

LCM(298,7968) = ( 298 × 7968 ) / 2

LCM(298,7968) = 2374464 / 2

LCM(298,7968) = 1187232


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 3589/298, 2037/7968

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 3589/298, 2037/7968?

Answer: GCF of Numerators as per given numbers 3589/298, 2037/7968 is

GCF of Numerators i.e. for 3589,2037 is 97

LCM of denominators i.e. for 298,7968 is 1187232.

Thus, GCF of Fractions is 97/1187232.Finally, GCF of Fractions for 3589/298, 2037/7968 is 97/1187232.