Greatest Common Factor of 631/391, 473/441, 594/172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 631/391, 473/441, 594/172

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 631/391,473/441,594/172

Given fractions are 631/391,473/441,594/172

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 631,473,594

Greatest Common Factor of Numerators i.e. GCF of 631,473,594 is 1 .

LCM of Denominators means LCM of 391,441,172 as per the given fractions.

LCM of 391,441,172 is 29658132 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 631,473,594

GCF of Fractions 631/391,473/441,594/172 is 1/29658132

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

Greatest Common Factor of 631,473,594 By Matching Biggest Common Factor Method

Greatest Common Factor of 631,473,594 By Matching Biggest Common Factor Method

Factors of 631

List of positive integer factors of 631 that divides 631 without a remainder.

1,631

Factors of 473

List of positive integer factors of 473 that divides 473 without a remainder.

1,11,43,473

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Greatest Common Factor

We found the factors 631,473,594 . The biggest common factor number is the GCF number.
So the greatest common factor 631,473,594 is 1.

Lets's calculate LCM of 391,441,172

Given numbers has no common factors except 1. So, there LCM is their product i.e 29658132

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29658132

Therefore, the GCF of Fractions 631/391,473/441,594/172 is 1/29658132

Least Common Multiple of 391,441,172 with GCF Formula

Least Common Multiple of 391,441,172 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 391,441,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(391,441,172) = 1

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

GCF(391,441,172) x common factors =1 x 1 = 1

LCM(391,441,172) = ( 391 × 441 × 172 ) / 1

LCM(391,441,172) = 29658132 / 1

LCM(391,441,172) = 29658132


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 631/391, 473/441, 594/172

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 631/391, 473/441, 594/172?

Answer: GCF of Numerators as per given numbers 631/391, 473/441, 594/172 is

GCF of Numerators i.e. for 631,473,594 is 1

LCM of denominators i.e. for 391,441,172 is 29658132.

Thus, GCF of Fractions is 1/29658132.Finally, GCF of Fractions for 631/391, 473/441, 594/172 is 1/29658132.