Greatest Common Factor of 589/31, 627/771

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 589/31, 627/771

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 589/31,627/771

Given fractions are 589/31,627/771

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 589,627

Greatest Common Factor of Numerators i.e. GCF of 589,627 is 19 .

LCM of Denominators means LCM of 31,771 as per the given fractions.

LCM of 31,771 is 23901 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 589,627

GCF of Fractions 589/31,627/771 is 19/23901

19 589, 627
31, 33

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 589,627 By Matching Biggest Common Factor Method

Greatest Common Factor of 589,627 By Matching Biggest Common Factor Method

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Greatest Common Factor

We found the factors 589,627 . The biggest common factor number is the GCF number.
So the greatest common factor 589,627 is 19.

Lets's calculate LCM of 31,771

Given numbers has no common factors except 1. So, there LCM is their product i.e 23901

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/23901

Therefore, the GCF of Fractions 589/31,627/771 is 19/23901

Least Common Multiple of 31,771 with GCF Formula

Least Common Multiple of 31,771 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 31,771 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,771) = 1

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

GCF(31,771) x common factors =1 x 1 = 1

LCM(31,771) = ( 31 × 771 ) / 1

LCM(31,771) = 23901 / 1

LCM(31,771) = 23901


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 589/31, 627/771

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 589/31, 627/771?

Answer: GCF of Numerators as per given numbers 589/31, 627/771 is

GCF of Numerators i.e. for 589,627 is 19

LCM of denominators i.e. for 31,771 is 23901.

Thus, GCF of Fractions is 19/23901.Finally, GCF of Fractions for 589/31, 627/771 is 19/23901.