Greatest Common Factor of 2321/998, 3723/378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2321/998, 3723/378

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 2321/998,3723/378

Given fractions are 2321/998,3723/378

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 2321,3723

Greatest Common Factor of Numerators i.e. GCF of 2321,3723 is 1 .

LCM of Denominators means LCM of 998,378 as per the given fractions.

LCM of 998,378 is 188622 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2321,3723

GCF of Fractions 2321/998,3723/378 is 1/188622

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

Greatest Common Factor of 2321,3723 By Matching Biggest Common Factor Method

Greatest Common Factor of 2321,3723 By Matching Biggest Common Factor Method

Factors of 2321

List of positive integer factors of 2321 that divides 2321 without a remainder.

1,11,211,2321

Factors of 3723

List of positive integer factors of 3723 that divides 3723 without a remainder.

1,3,17,51,73,219,1241,3723

Greatest Common Factor

We found the factors 2321,3723 . The biggest common factor number is the GCF number.
So the greatest common factor 2321,3723 is 1.

Lets's calculate LCM of 998,378

2 998, 378
499, 189

∴ So the LCM of the given numbers is 2 x 499 x 189 = 188622

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/188622

Therefore, the GCF of Fractions 2321/998,3723/378 is 1/188622

Least Common Multiple of 998,378 with GCF Formula

Least Common Multiple of 998,378 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 998,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(998,378) = 2

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

GCF(998,378) x common factors =2 x 1 = 2

LCM(998,378) = ( 998 × 378 ) / 2

LCM(998,378) = 377244 / 2

LCM(998,378) = 188622


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 2321/998, 3723/378

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 2321/998, 3723/378?

Answer: GCF of Numerators as per given numbers 2321/998, 3723/378 is

GCF of Numerators i.e. for 2321,3723 is 1

LCM of denominators i.e. for 998,378 is 188622.

Thus, GCF of Fractions is 1/188622.Finally, GCF of Fractions for 2321/998, 3723/378 is 1/188622.