Greatest Common Factor of 3968/273, 3944/8865

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3968/273, 3944/8865

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 3968/273,3944/8865

Given fractions are 3968/273,3944/8865

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 3968,3944

Greatest Common Factor of Numerators i.e. GCF of 3968,3944 is 8 .

LCM of Denominators means LCM of 273,8865 as per the given fractions.

LCM of 273,8865 is 806715 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3968,3944

GCF of Fractions 3968/273,3944/8865 is 8/806715

2 3968, 3944
2 1984, 1972
2 992, 986
496, 493

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

Greatest Common Factor of 3968,3944 By Matching Biggest Common Factor Method

Greatest Common Factor of 3968,3944 By Matching Biggest Common Factor Method

Factors of 3968

List of positive integer factors of 3968 that divides 3968 without a remainder.

1,2,4,8,16,31,32,62,64,124,128,248,496,992,1984,3968

Factors of 3944

List of positive integer factors of 3944 that divides 3944 without a remainder.

1,2,4,8,17,29,34,58,68,116,136,232,493,986,1972,3944

Greatest Common Factor

We found the factors 3968,3944 . The biggest common factor number is the GCF number.
So the greatest common factor 3968,3944 is 8.

Lets's calculate LCM of 273,8865

3 273, 8865
91, 2955

∴ So the LCM of the given numbers is 3 x 91 x 2955 = 806715

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/806715

Therefore, the GCF of Fractions 3968/273,3944/8865 is 8/806715

Least Common Multiple of 273,8865 with GCF Formula

Least Common Multiple of 273,8865 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 273,8865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(273,8865) = 3

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

GCF(273,8865) x common factors =3 x 1 = 3

LCM(273,8865) = ( 273 × 8865 ) / 3

LCM(273,8865) = 2420145 / 3

LCM(273,8865) = 806715


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 3968/273, 3944/8865

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 3968/273, 3944/8865?

Answer: GCF of Numerators as per given numbers 3968/273, 3944/8865 is

GCF of Numerators i.e. for 3968,3944 is 8

LCM of denominators i.e. for 273,8865 is 806715.

Thus, GCF of Fractions is 8/806715.Finally, GCF of Fractions for 3968/273, 3944/8865 is 8/806715.