Greatest Common Factor of 582/73, 237/21, 226/511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 582/73, 237/21, 226/511

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 582/73,237/21,226/511

Given fractions are 582/73,237/21,226/511

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 582,237,226

Greatest Common Factor of Numerators i.e. GCF of 582,237,226 is 1 .

LCM of Denominators means LCM of 73,21,511 as per the given fractions.

LCM of 73,21,511 is 1533 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 582,237,226

GCF of Fractions 582/73,237/21,226/511 is 1/1533

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

Greatest Common Factor of 582,237,226 By Matching Biggest Common Factor Method

Greatest Common Factor of 582,237,226 By Matching Biggest Common Factor Method

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Greatest Common Factor

We found the factors 582,237,226 . The biggest common factor number is the GCF number.
So the greatest common factor 582,237,226 is 1.

Lets's calculate LCM of 73,21,511

7 73, 21, 511
73 73, 3, 73
1, 3, 1

∴ So the LCM of the given numbers is 7 x 73 x 1 x 3 x 1 = 1533

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1533

Therefore, the GCF of Fractions 582/73,237/21,226/511 is 1/1533

Least Common Multiple of 73,21,511 with GCF Formula

Least Common Multiple of 73,21,511 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 73,21,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,21,511) = 1

common factors(in case of two or more numbers have common factors) = 511

GCF(73,21,511) x common factors =1 x 511 = 511

LCM(73,21,511) = ( 73 × 21 × 511 ) / 511

LCM(73,21,511) = 783363 / 511

LCM(73,21,511) = 1533


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 582/73, 237/21, 226/511

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 582/73, 237/21, 226/511?

Answer: GCF of Numerators as per given numbers 582/73, 237/21, 226/511 is

GCF of Numerators i.e. for 582,237,226 is 1

LCM of denominators i.e. for 73,21,511 is 1533.

Thus, GCF of Fractions is 1/1533.Finally, GCF of Fractions for 582/73, 237/21, 226/511 is 1/1533.