Greatest Common Factor of 2368/379, 3093/3543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2368/379, 3093/3543

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 2368/379,3093/3543

Given fractions are 2368/379,3093/3543

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 2368,3093

Greatest Common Factor of Numerators i.e. GCF of 2368,3093 is 1 .

LCM of Denominators means LCM of 379,3543 as per the given fractions.

LCM of 379,3543 is 1342797 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2368,3093

GCF of Fractions 2368/379,3093/3543 is 1/1342797

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

Greatest Common Factor of 2368,3093 By Matching Biggest Common Factor Method

Greatest Common Factor of 2368,3093 By Matching Biggest Common Factor Method

Factors of 2368

List of positive integer factors of 2368 that divides 2368 without a remainder.

1,2,4,8,16,32,37,64,74,148,296,592,1184,2368

Factors of 3093

List of positive integer factors of 3093 that divides 3093 without a remainder.

1,3,1031,3093

Greatest Common Factor

We found the factors 2368,3093 . The biggest common factor number is the GCF number.
So the greatest common factor 2368,3093 is 1.

Lets's calculate LCM of 379,3543

Given numbers has no common factors except 1. So, there LCM is their product i.e 1342797

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1342797

Therefore, the GCF of Fractions 2368/379,3093/3543 is 1/1342797

Least Common Multiple of 379,3543 with GCF Formula

Least Common Multiple of 379,3543 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 379,3543 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(379,3543) = 1

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

GCF(379,3543) x common factors =1 x 1 = 1

LCM(379,3543) = ( 379 × 3543 ) / 1

LCM(379,3543) = 1342797 / 1

LCM(379,3543) = 1342797


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 2368/379, 3093/3543

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 2368/379, 3093/3543?

Answer: GCF of Numerators as per given numbers 2368/379, 3093/3543 is

GCF of Numerators i.e. for 2368,3093 is 1

LCM of denominators i.e. for 379,3543 is 1342797.

Thus, GCF of Fractions is 1/1342797.Finally, GCF of Fractions for 2368/379, 3093/3543 is 1/1342797.