Greatest Common Factor of 4992/21, 7947/384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4992/21, 7947/384

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 4992/21,7947/384

Given fractions are 4992/21,7947/384

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 4992,7947

Greatest Common Factor of Numerators i.e. GCF of 4992,7947 is 3 .

LCM of Denominators means LCM of 21,384 as per the given fractions.

LCM of 21,384 is 2688 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4992,7947

GCF of Fractions 4992/21,7947/384 is 3/2688

3 4992, 7947
1664, 2649

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 4992,7947 By Matching Biggest Common Factor Method

Greatest Common Factor of 4992,7947 By Matching Biggest Common Factor Method

Factors of 4992

List of positive integer factors of 4992 that divides 4992 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,64,78,96,104,128,156,192,208,312,384,416,624,832,1248,1664,2496,4992

Factors of 7947

List of positive integer factors of 7947 that divides 7947 without a remainder.

1,3,9,883,2649,7947

Greatest Common Factor

We found the factors 4992,7947 . The biggest common factor number is the GCF number.
So the greatest common factor 4992,7947 is 3.

Lets's calculate LCM of 21,384

3 21, 384
7, 128

∴ So the LCM of the given numbers is 3 x 7 x 128 = 2688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2688

Therefore, the GCF of Fractions 4992/21,7947/384 is 3/2688

Least Common Multiple of 21,384 with GCF Formula

Least Common Multiple of 21,384 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 21,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,384) = 3

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

GCF(21,384) x common factors =3 x 1 = 3

LCM(21,384) = ( 21 × 384 ) / 3

LCM(21,384) = 8064 / 3

LCM(21,384) = 2688


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 4992/21, 7947/384

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 4992/21, 7947/384?

Answer: GCF of Numerators as per given numbers 4992/21, 7947/384 is

GCF of Numerators i.e. for 4992,7947 is 3

LCM of denominators i.e. for 21,384 is 2688.

Thus, GCF of Fractions is 3/2688.Finally, GCF of Fractions for 4992/21, 7947/384 is 3/2688.