Greatest Common Factor of 644/17, 590/1981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 644/17, 590/1981

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 644/17,590/1981

Given fractions are 644/17,590/1981

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 644,590

Greatest Common Factor of Numerators i.e. GCF of 644,590 is 2 .

LCM of Denominators means LCM of 17,1981 as per the given fractions.

LCM of 17,1981 is 33677 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 644,590

GCF of Fractions 644/17,590/1981 is 2/33677

2 644, 590
322, 295

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 644,590 By Matching Biggest Common Factor Method

Greatest Common Factor of 644,590 By Matching Biggest Common Factor Method

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Greatest Common Factor

We found the factors 644,590 . The biggest common factor number is the GCF number.
So the greatest common factor 644,590 is 2.

Lets's calculate LCM of 17,1981

Given numbers has no common factors except 1. So, there LCM is their product i.e 33677

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/33677

Therefore, the GCF of Fractions 644/17,590/1981 is 2/33677

Least Common Multiple of 17,1981 with GCF Formula

Least Common Multiple of 17,1981 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 17,1981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,1981) = 1

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

GCF(17,1981) x common factors =1 x 1 = 1

LCM(17,1981) = ( 17 × 1981 ) / 1

LCM(17,1981) = 33677 / 1

LCM(17,1981) = 33677


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 644/17, 590/1981

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 644/17, 590/1981?

Answer: GCF of Numerators as per given numbers 644/17, 590/1981 is

GCF of Numerators i.e. for 644,590 is 2

LCM of denominators i.e. for 17,1981 is 33677.

Thus, GCF of Fractions is 2/33677.Finally, GCF of Fractions for 644/17, 590/1981 is 2/33677.