Greatest Common Factor of 3996/601, 2944/3958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3996/601, 2944/3958

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 3996/601,2944/3958

Given fractions are 3996/601,2944/3958

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 3996,2944

Greatest Common Factor of Numerators i.e. GCF of 3996,2944 is 4 .

LCM of Denominators means LCM of 601,3958 as per the given fractions.

LCM of 601,3958 is 2378758 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3996,2944

GCF of Fractions 3996/601,2944/3958 is 4/2378758

2 3996, 2944
2 1998, 1472
999, 736

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 3996,2944 By Matching Biggest Common Factor Method

Greatest Common Factor of 3996,2944 By Matching Biggest Common Factor Method

Factors of 3996

List of positive integer factors of 3996 that divides 3996 without a remainder.

1,2,3,4,6,9,12,18,27,36,37,54,74,108,111,148,222,333,444,666,999,1332,1998,3996

Factors of 2944

List of positive integer factors of 2944 that divides 2944 without a remainder.

1,2,4,8,16,23,32,46,64,92,128,184,368,736,1472,2944

Greatest Common Factor

We found the factors 3996,2944 . The biggest common factor number is the GCF number.
So the greatest common factor 3996,2944 is 4.

Lets's calculate LCM of 601,3958

Given numbers has no common factors except 1. So, there LCM is their product i.e 2378758

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2378758

Therefore, the GCF of Fractions 3996/601,2944/3958 is 4/2378758

Least Common Multiple of 601,3958 with GCF Formula

Least Common Multiple of 601,3958 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 601,3958 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(601,3958) = 1

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

GCF(601,3958) x common factors =1 x 1 = 1

LCM(601,3958) = ( 601 × 3958 ) / 1

LCM(601,3958) = 2378758 / 1

LCM(601,3958) = 2378758


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 3996/601, 2944/3958

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 3996/601, 2944/3958?

Answer: GCF of Numerators as per given numbers 3996/601, 2944/3958 is

GCF of Numerators i.e. for 3996,2944 is 4

LCM of denominators i.e. for 601,3958 is 2378758.

Thus, GCF of Fractions is 4/2378758.Finally, GCF of Fractions for 3996/601, 2944/3958 is 4/2378758.