Greatest Common Factor of 31/464, 44/608, 643/353

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 31/464, 44/608, 643/353

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 31/464,44/608,643/353

Given fractions are 31/464,44/608,643/353

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 31,44,643

Greatest Common Factor of Numerators i.e. GCF of 31,44,643 is 1 .

LCM of Denominators means LCM of 464,608,353 as per the given fractions.

LCM of 464,608,353 is 6224096 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 31,44,643

GCF of Fractions 31/464,44/608,643/353 is 1/6224096

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 31,44,643 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,44,643 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Greatest Common Factor

We found the factors 31,44,643 . The biggest common factor number is the GCF number.
So the greatest common factor 31,44,643 is 1.

Lets's calculate LCM of 464,608,353

2 464, 608, 353
2 232, 304, 353
2 116, 152, 353
2 58, 76, 353
29, 38, 353

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 29 x 38 x 353 = 6224096

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6224096

Therefore, the GCF of Fractions 31/464,44/608,643/353 is 1/6224096

Least Common Multiple of 464,608,353 with GCF Formula

Least Common Multiple of 464,608,353 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 464,608,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,608,353) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(464,608,353) x common factors =1 x 16 = 16

LCM(464,608,353) = ( 464 × 608 × 353 ) / 16

LCM(464,608,353) = 99585536 / 16

LCM(464,608,353) = 6224096


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 31/464, 44/608, 643/353

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 31/464, 44/608, 643/353?

Answer: GCF of Numerators as per given numbers 31/464, 44/608, 643/353 is

GCF of Numerators i.e. for 31,44,643 is 1

LCM of denominators i.e. for 464,608,353 is 6224096.

Thus, GCF of Fractions is 1/6224096.Finally, GCF of Fractions for 31/464, 44/608, 643/353 is 1/6224096.