Greatest Common Factor of 6642/693, 4764/786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6642/693, 4764/786

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 6642/693,4764/786

Given fractions are 6642/693,4764/786

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 6642,4764

Greatest Common Factor of Numerators i.e. GCF of 6642,4764 is 6 .

LCM of Denominators means LCM of 693,786 as per the given fractions.

LCM of 693,786 is 181566 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6642,4764

GCF of Fractions 6642/693,4764/786 is 6/181566

2 6642, 4764
3 3321, 2382
1107, 794

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 6642,4764 By Matching Biggest Common Factor Method

Greatest Common Factor of 6642,4764 By Matching Biggest Common Factor Method

Factors of 6642

List of positive integer factors of 6642 that divides 6642 without a remainder.

1,2,3,6,9,18,27,41,54,81,82,123,162,246,369,738,1107,2214,3321,6642

Factors of 4764

List of positive integer factors of 4764 that divides 4764 without a remainder.

1,2,3,4,6,12,397,794,1191,1588,2382,4764

Greatest Common Factor

We found the factors 6642,4764 . The biggest common factor number is the GCF number.
So the greatest common factor 6642,4764 is 6.

Lets's calculate LCM of 693,786

3 693, 786
231, 262

∴ So the LCM of the given numbers is 3 x 231 x 262 = 181566

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/181566

Therefore, the GCF of Fractions 6642/693,4764/786 is 6/181566

Least Common Multiple of 693,786 with GCF Formula

Least Common Multiple of 693,786 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 693,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(693,786) = 3

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

GCF(693,786) x common factors =3 x 1 = 3

LCM(693,786) = ( 693 × 786 ) / 3

LCM(693,786) = 544698 / 3

LCM(693,786) = 181566


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 6642/693, 4764/786

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 6642/693, 4764/786?

Answer: GCF of Numerators as per given numbers 6642/693, 4764/786 is

GCF of Numerators i.e. for 6642,4764 is 6

LCM of denominators i.e. for 693,786 is 181566.

Thus, GCF of Fractions is 6/181566.Finally, GCF of Fractions for 6642/693, 4764/786 is 6/181566.