Greatest Common Factor of 20/581, 2090/1213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 20/581, 2090/1213

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 20/581,2090/1213

Given fractions are 20/581,2090/1213

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 20,2090

Greatest Common Factor of Numerators i.e. GCF of 20,2090 is 10 .

LCM of Denominators means LCM of 581,1213 as per the given fractions.

LCM of 581,1213 is 704753 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 20,2090

GCF of Fractions 20/581,2090/1213 is 10/704753

2 20, 2090
5 10, 1045
2, 209

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 20,2090 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,2090 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 2090

List of positive integer factors of 2090 that divides 2090 without a remainder.

1,2,5,10,11,19,22,38,55,95,110,190,209,418,1045,2090

Greatest Common Factor

We found the factors 20,2090 . The biggest common factor number is the GCF number.
So the greatest common factor 20,2090 is 10.

Lets's calculate LCM of 581,1213

Given numbers has no common factors except 1. So, there LCM is their product i.e 704753

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/704753

Therefore, the GCF of Fractions 20/581,2090/1213 is 10/704753

Least Common Multiple of 581,1213 with GCF Formula

Least Common Multiple of 581,1213 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 581,1213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(581,1213) = 1

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

GCF(581,1213) x common factors =1 x 1 = 1

LCM(581,1213) = ( 581 × 1213 ) / 1

LCM(581,1213) = 704753 / 1

LCM(581,1213) = 704753


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 20/581, 2090/1213

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 20/581, 2090/1213?

Answer: GCF of Numerators as per given numbers 20/581, 2090/1213 is

GCF of Numerators i.e. for 20,2090 is 10

LCM of denominators i.e. for 581,1213 is 704753.

Thus, GCF of Fractions is 10/704753.Finally, GCF of Fractions for 20/581, 2090/1213 is 10/704753.