Greatest Common Factor of 3906/381, 7944/9552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3906/381, 7944/9552

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 3906/381,7944/9552

Given fractions are 3906/381,7944/9552

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 3906,7944

Greatest Common Factor of Numerators i.e. GCF of 3906,7944 is 6 .

LCM of Denominators means LCM of 381,9552 as per the given fractions.

LCM of 381,9552 is 1213104 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3906,7944

GCF of Fractions 3906/381,7944/9552 is 6/1213104

2 3906, 7944
3 1953, 3972
651, 1324

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

Greatest Common Factor of 3906,7944 By Matching Biggest Common Factor Method

Greatest Common Factor of 3906,7944 By Matching Biggest Common Factor Method

Factors of 3906

List of positive integer factors of 3906 that divides 3906 without a remainder.

1,2,3,6,7,9,14,18,21,31,42,62,63,93,126,186,217,279,434,558,651,1302,1953,3906

Factors of 7944

List of positive integer factors of 7944 that divides 7944 without a remainder.

1,2,3,4,6,8,12,24,331,662,993,1324,1986,2648,3972,7944

Greatest Common Factor

We found the factors 3906,7944 . The biggest common factor number is the GCF number.
So the greatest common factor 3906,7944 is 6.

Lets's calculate LCM of 381,9552

3 381, 9552
127, 3184

∴ So the LCM of the given numbers is 3 x 127 x 3184 = 1213104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1213104

Therefore, the GCF of Fractions 3906/381,7944/9552 is 6/1213104

Least Common Multiple of 381,9552 with GCF Formula

Least Common Multiple of 381,9552 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 381,9552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(381,9552) = 3

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

GCF(381,9552) x common factors =3 x 1 = 3

LCM(381,9552) = ( 381 × 9552 ) / 3

LCM(381,9552) = 3639312 / 3

LCM(381,9552) = 1213104


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 3906/381, 7944/9552

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 3906/381, 7944/9552?

Answer: GCF of Numerators as per given numbers 3906/381, 7944/9552 is

GCF of Numerators i.e. for 3906,7944 is 6

LCM of denominators i.e. for 381,9552 is 1213104.

Thus, GCF of Fractions is 6/1213104.Finally, GCF of Fractions for 3906/381, 7944/9552 is 6/1213104.