Greatest Common Factor of 6648/996, 3912/6036

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6648/996, 3912/6036

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 6648/996,3912/6036

Given fractions are 6648/996,3912/6036

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 6648,3912

Greatest Common Factor of Numerators i.e. GCF of 6648,3912 is 24 .

LCM of Denominators means LCM of 996,6036 as per the given fractions.

LCM of 996,6036 is 500988 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6648,3912

GCF of Fractions 6648/996,3912/6036 is 24/500988

2 6648, 3912
2 3324, 1956
2 1662, 978
3 831, 489
277, 163

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 6648,3912 By Matching Biggest Common Factor Method

Greatest Common Factor of 6648,3912 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 3912

List of positive integer factors of 3912 that divides 3912 without a remainder.

1,2,3,4,6,8,12,24,163,326,489,652,978,1304,1956,3912

Greatest Common Factor

We found the factors 6648,3912 . The biggest common factor number is the GCF number.
So the greatest common factor 6648,3912 is 24.

Lets's calculate LCM of 996,6036

2 996, 6036
2 498, 3018
3 249, 1509
83, 503

∴ So the LCM of the given numbers is 2 x 2 x 3 x 83 x 503 = 500988

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/500988

Therefore, the GCF of Fractions 6648/996,3912/6036 is 24/500988

Least Common Multiple of 996,6036 with GCF Formula

Least Common Multiple of 996,6036 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 996,6036 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(996,6036) = 12

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

GCF(996,6036) x common factors =12 x 1 = 12

LCM(996,6036) = ( 996 × 6036 ) / 12

LCM(996,6036) = 6011856 / 12

LCM(996,6036) = 500988


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 6648/996, 3912/6036

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 6648/996, 3912/6036?

Answer: GCF of Numerators as per given numbers 6648/996, 3912/6036 is

GCF of Numerators i.e. for 6648,3912 is 24

LCM of denominators i.e. for 996,6036 is 500988.

Thus, GCF of Fractions is 24/500988.Finally, GCF of Fractions for 6648/996, 3912/6036 is 24/500988.