Greatest Common Factor of 6648/882, 3704/6936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6648/882, 3704/6936

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 6648/882,3704/6936

Given fractions are 6648/882,3704/6936

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 6648,3704

Greatest Common Factor of Numerators i.e. GCF of 6648,3704 is 8 .

LCM of Denominators means LCM of 882,6936 as per the given fractions.

LCM of 882,6936 is 1019592 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6648,3704

GCF of Fractions 6648/882,3704/6936 is 8/1019592

2 6648, 3704
2 3324, 1852
2 1662, 926
831, 463

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 6648,3704 By Matching Biggest Common Factor Method

Greatest Common Factor of 6648,3704 By Matching Biggest Common Factor Method

Factors of 6648

List of positive integer factors of 6648 that divides 6648 without a remainder.

1,2,3,4,6,8,12,24,277,554,831,1108,1662,2216,3324,6648

Factors of 3704

List of positive integer factors of 3704 that divides 3704 without a remainder.

1,2,4,8,463,926,1852,3704

Greatest Common Factor

We found the factors 6648,3704 . The biggest common factor number is the GCF number.
So the greatest common factor 6648,3704 is 8.

Lets's calculate LCM of 882,6936

2 882, 6936
3 441, 3468
147, 1156

∴ So the LCM of the given numbers is 2 x 3 x 147 x 1156 = 1019592

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1019592

Therefore, the GCF of Fractions 6648/882,3704/6936 is 8/1019592

Least Common Multiple of 882,6936 with GCF Formula

Least Common Multiple of 882,6936 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 882,6936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(882,6936) = 6

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

GCF(882,6936) x common factors =6 x 1 = 6

LCM(882,6936) = ( 882 × 6936 ) / 6

LCM(882,6936) = 6117552 / 6

LCM(882,6936) = 1019592


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 6648/882, 3704/6936

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 6648/882, 3704/6936?

Answer: GCF of Numerators as per given numbers 6648/882, 3704/6936 is

GCF of Numerators i.e. for 6648,3704 is 8

LCM of denominators i.e. for 882,6936 is 1019592.

Thus, GCF of Fractions is 8/1019592.Finally, GCF of Fractions for 6648/882, 3704/6936 is 8/1019592.