Greatest Common Factor of 4383/374, 6307/2976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4383/374, 6307/2976

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 4383/374,6307/2976

Given fractions are 4383/374,6307/2976

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 4383,6307

Greatest Common Factor of Numerators i.e. GCF of 4383,6307 is 1 .

LCM of Denominators means LCM of 374,2976 as per the given fractions.

LCM of 374,2976 is 556512 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4383,6307

GCF of Fractions 4383/374,6307/2976 is 1/556512

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

Greatest Common Factor of 4383,6307 By Matching Biggest Common Factor Method

Greatest Common Factor of 4383,6307 By Matching Biggest Common Factor Method

Factors of 4383

List of positive integer factors of 4383 that divides 4383 without a remainder.

1,3,9,487,1461,4383

Factors of 6307

List of positive integer factors of 6307 that divides 6307 without a remainder.

1,7,17,53,119,371,901,6307

Greatest Common Factor

We found the factors 4383,6307 . The biggest common factor number is the GCF number.
So the greatest common factor 4383,6307 is 1.

Lets's calculate LCM of 374,2976

2 374, 2976
187, 1488

∴ So the LCM of the given numbers is 2 x 187 x 1488 = 556512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/556512

Therefore, the GCF of Fractions 4383/374,6307/2976 is 1/556512

Least Common Multiple of 374,2976 with GCF Formula

Least Common Multiple of 374,2976 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 374,2976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(374,2976) = 2

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

GCF(374,2976) x common factors =2 x 1 = 2

LCM(374,2976) = ( 374 × 2976 ) / 2

LCM(374,2976) = 1113024 / 2

LCM(374,2976) = 556512


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 4383/374, 6307/2976

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 4383/374, 6307/2976?

Answer: GCF of Numerators as per given numbers 4383/374, 6307/2976 is

GCF of Numerators i.e. for 4383,6307 is 1

LCM of denominators i.e. for 374,2976 is 556512.

Thus, GCF of Fractions is 1/556512.Finally, GCF of Fractions for 4383/374, 6307/2976 is 1/556512.