Greatest Common Factor of 4644/336, 5633/641

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4644/336, 5633/641

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 4644/336,5633/641

Given fractions are 4644/336,5633/641

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 4644,5633

Greatest Common Factor of Numerators i.e. GCF of 4644,5633 is 43 .

LCM of Denominators means LCM of 336,641 as per the given fractions.

LCM of 336,641 is 215376 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4644,5633

GCF of Fractions 4644/336,5633/641 is 43/215376

43 4644, 5633
108, 131

∴ So the GCF of the given numbers is 43 = 43

Greatest Common Factor of 4644,5633 By Matching Biggest Common Factor Method

Greatest Common Factor of 4644,5633 By Matching Biggest Common Factor Method

Factors of 4644

List of positive integer factors of 4644 that divides 4644 without a remainder.

1,2,3,4,6,9,12,18,27,36,43,54,86,108,129,172,258,387,516,774,1161,1548,2322,4644

Factors of 5633

List of positive integer factors of 5633 that divides 5633 without a remainder.

1,43,131,5633

Greatest Common Factor

We found the factors 4644,5633 . The biggest common factor number is the GCF number.
So the greatest common factor 4644,5633 is 43.

Lets's calculate LCM of 336,641

Given numbers has no common factors except 1. So, there LCM is their product i.e 215376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 43/215376

Therefore, the GCF of Fractions 4644/336,5633/641 is 43/215376

Least Common Multiple of 336,641 with GCF Formula

Least Common Multiple of 336,641 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 336,641 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(336,641) = 1

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

GCF(336,641) x common factors =1 x 1 = 1

LCM(336,641) = ( 336 × 641 ) / 1

LCM(336,641) = 215376 / 1

LCM(336,641) = 215376


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 4644/336, 5633/641

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 4644/336, 5633/641?

Answer: GCF of Numerators as per given numbers 4644/336, 5633/641 is

GCF of Numerators i.e. for 4644,5633 is 43

LCM of denominators i.e. for 336,641 is 215376.

Thus, GCF of Fractions is 43/215376.Finally, GCF of Fractions for 4644/336, 5633/641 is 43/215376.