Greatest Common Factor of 6643/724, 3276/4068

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6643/724, 3276/4068

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 6643/724,3276/4068

Given fractions are 6643/724,3276/4068

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 6643,3276

Greatest Common Factor of Numerators i.e. GCF of 6643,3276 is 91 .

LCM of Denominators means LCM of 724,4068 as per the given fractions.

LCM of 724,4068 is 736308 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6643,3276

GCF of Fractions 6643/724,3276/4068 is 91/736308

7 6643, 3276
13 949, 468
73, 36

∴ So the GCF of the given numbers is 7 x 13 = 91

Greatest Common Factor of 6643,3276 By Matching Biggest Common Factor Method

Greatest Common Factor of 6643,3276 By Matching Biggest Common Factor Method

Factors of 6643

List of positive integer factors of 6643 that divides 6643 without a remainder.

1,7,13,73,91,511,949,6643

Factors of 3276

List of positive integer factors of 3276 that divides 3276 without a remainder.

1,2,3,4,6,7,9,12,13,14,18,21,26,28,36,39,42,52,63,78,84,91,117,126,156,182,234,252,273,364,468,546,819,1092,1638,3276

Greatest Common Factor

We found the factors 6643,3276 . The biggest common factor number is the GCF number.
So the greatest common factor 6643,3276 is 91.

Lets's calculate LCM of 724,4068

2 724, 4068
2 362, 2034
181, 1017

∴ So the LCM of the given numbers is 2 x 2 x 181 x 1017 = 736308

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 91/736308

Therefore, the GCF of Fractions 6643/724,3276/4068 is 91/736308

Least Common Multiple of 724,4068 with GCF Formula

Least Common Multiple of 724,4068 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 724,4068 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,4068) = 4

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

GCF(724,4068) x common factors =4 x 1 = 4

LCM(724,4068) = ( 724 × 4068 ) / 4

LCM(724,4068) = 2945232 / 4

LCM(724,4068) = 736308


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 6643/724, 3276/4068

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 6643/724, 3276/4068?

Answer: GCF of Numerators as per given numbers 6643/724, 3276/4068 is

GCF of Numerators i.e. for 6643,3276 is 91

LCM of denominators i.e. for 724,4068 is 736308.

Thus, GCF of Fractions is 91/736308.Finally, GCF of Fractions for 6643/724, 3276/4068 is 91/736308.