Greatest Common Factor of 6664/744, 3834/543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6664/744, 3834/543

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 6664/744,3834/543

Given fractions are 6664/744,3834/543

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 6664,3834

Greatest Common Factor of Numerators i.e. GCF of 6664,3834 is 2 .

LCM of Denominators means LCM of 744,543 as per the given fractions.

LCM of 744,543 is 134664 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6664,3834

GCF of Fractions 6664/744,3834/543 is 2/134664

2 6664, 3834
3332, 1917

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

Greatest Common Factor of 6664,3834 By Matching Biggest Common Factor Method

Greatest Common Factor of 6664,3834 By Matching Biggest Common Factor Method

Factors of 6664

List of positive integer factors of 6664 that divides 6664 without a remainder.

1,2,4,7,8,14,17,28,34,49,56,68,98,119,136,196,238,392,476,833,952,1666,3332,6664

Factors of 3834

List of positive integer factors of 3834 that divides 3834 without a remainder.

1,2,3,6,9,18,27,54,71,142,213,426,639,1278,1917,3834

Greatest Common Factor

We found the factors 6664,3834 . The biggest common factor number is the GCF number.
So the greatest common factor 6664,3834 is 2.

Lets's calculate LCM of 744,543

3 744, 543
248, 181

∴ So the LCM of the given numbers is 3 x 248 x 181 = 134664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/134664

Therefore, the GCF of Fractions 6664/744,3834/543 is 2/134664

Least Common Multiple of 744,543 with GCF Formula

Least Common Multiple of 744,543 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 744,543 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,543) = 3

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

GCF(744,543) x common factors =3 x 1 = 3

LCM(744,543) = ( 744 × 543 ) / 3

LCM(744,543) = 403992 / 3

LCM(744,543) = 134664


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 6664/744, 3834/543

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 6664/744, 3834/543?

Answer: GCF of Numerators as per given numbers 6664/744, 3834/543 is

GCF of Numerators i.e. for 6664,3834 is 2

LCM of denominators i.e. for 744,543 is 134664.

Thus, GCF of Fractions is 2/134664.Finally, GCF of Fractions for 6664/744, 3834/543 is 2/134664.