Greatest Common Factor of 4632/939, 6633/7041

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4632/939, 6633/7041

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 4632/939,6633/7041

Given fractions are 4632/939,6633/7041

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 4632,6633

Greatest Common Factor of Numerators i.e. GCF of 4632,6633 is 3 .

LCM of Denominators means LCM of 939,7041 as per the given fractions.

LCM of 939,7041 is 2203833 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4632,6633

GCF of Fractions 4632/939,6633/7041 is 3/2203833

3 4632, 6633
1544, 2211

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

Greatest Common Factor of 4632,6633 By Matching Biggest Common Factor Method

Greatest Common Factor of 4632,6633 By Matching Biggest Common Factor Method

Factors of 4632

List of positive integer factors of 4632 that divides 4632 without a remainder.

1,2,3,4,6,8,12,24,193,386,579,772,1158,1544,2316,4632

Factors of 6633

List of positive integer factors of 6633 that divides 6633 without a remainder.

1,3,9,11,33,67,99,201,603,737,2211,6633

Greatest Common Factor

We found the factors 4632,6633 . The biggest common factor number is the GCF number.
So the greatest common factor 4632,6633 is 3.

Lets's calculate LCM of 939,7041

3 939, 7041
313, 2347

∴ So the LCM of the given numbers is 3 x 313 x 2347 = 2203833

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2203833

Therefore, the GCF of Fractions 4632/939,6633/7041 is 3/2203833

Least Common Multiple of 939,7041 with GCF Formula

Least Common Multiple of 939,7041 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 939,7041 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(939,7041) = 3

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

GCF(939,7041) x common factors =3 x 1 = 3

LCM(939,7041) = ( 939 × 7041 ) / 3

LCM(939,7041) = 6611499 / 3

LCM(939,7041) = 2203833


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 4632/939, 6633/7041

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 4632/939, 6633/7041?

Answer: GCF of Numerators as per given numbers 4632/939, 6633/7041 is

GCF of Numerators i.e. for 4632,6633 is 3

LCM of denominators i.e. for 939,7041 is 2203833.

Thus, GCF of Fractions is 3/2203833.Finally, GCF of Fractions for 4632/939, 6633/7041 is 3/2203833.