Greatest Common Factor of 22/61, 58/81, 720/813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 22/61, 58/81, 720/813

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 22/61,58/81,720/813

Given fractions are 22/61,58/81,720/813

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 22,58,720

Greatest Common Factor of Numerators i.e. GCF of 22,58,720 is 2 .

LCM of Denominators means LCM of 61,81,813 as per the given fractions.

LCM of 61,81,813 is 1339011 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 22,58,720

GCF of Fractions 22/61,58/81,720/813 is 2/1339011

2 22, 58, 720
11, 29, 360

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

Greatest Common Factor of 22,58,720 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,58,720 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Greatest Common Factor

We found the factors 22,58,720 . The biggest common factor number is the GCF number.
So the greatest common factor 22,58,720 is 2.

Lets's calculate LCM of 61,81,813

3 61, 81, 813
61, 27, 271

∴ So the LCM of the given numbers is 3 x 61 x 27 x 271 = 1339011

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1339011

Therefore, the GCF of Fractions 22/61,58/81,720/813 is 2/1339011

Least Common Multiple of 61,81,813 with GCF Formula

Least Common Multiple of 61,81,813 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 61,81,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,81,813) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(61,81,813) x common factors =1 x 3 = 3

LCM(61,81,813) = ( 61 × 81 × 813 ) / 3

LCM(61,81,813) = 4017033 / 3

LCM(61,81,813) = 1339011


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 22/61, 58/81, 720/813

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 22/61, 58/81, 720/813?

Answer: GCF of Numerators as per given numbers 22/61, 58/81, 720/813 is

GCF of Numerators i.e. for 22,58,720 is 2

LCM of denominators i.e. for 61,81,813 is 1339011.

Thus, GCF of Fractions is 2/1339011.Finally, GCF of Fractions for 22/61, 58/81, 720/813 is 2/1339011.