Greatest Common Factor of 582/143, 132/148, 973/594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 582/143, 132/148, 973/594

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 582/143,132/148,973/594

Given fractions are 582/143,132/148,973/594

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 582,132,973

Greatest Common Factor of Numerators i.e. GCF of 582,132,973 is 1 .

LCM of Denominators means LCM of 143,148,594 as per the given fractions.

LCM of 143,148,594 is 571428 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 582,132,973

GCF of Fractions 582/143,132/148,973/594 is 1/571428

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

Greatest Common Factor of 582,132,973 By Matching Biggest Common Factor Method

Greatest Common Factor of 582,132,973 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 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Greatest Common Factor

We found the factors 582,132,973 . The biggest common factor number is the GCF number.
So the greatest common factor 582,132,973 is 1.

Lets's calculate LCM of 143,148,594

2 143, 148, 594
11 143, 74, 297
13, 74, 27

∴ So the LCM of the given numbers is 2 x 11 x 13 x 74 x 27 = 571428

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/571428

Therefore, the GCF of Fractions 582/143,132/148,973/594 is 1/571428

Least Common Multiple of 143,148,594 with GCF Formula

Least Common Multiple of 143,148,594 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 143,148,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(143,148,594) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(143,148,594) x common factors =1 x 22 = 22

LCM(143,148,594) = ( 143 × 148 × 594 ) / 22

LCM(143,148,594) = 12571416 / 22

LCM(143,148,594) = 571428


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 582/143, 132/148, 973/594

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 582/143, 132/148, 973/594?

Answer: GCF of Numerators as per given numbers 582/143, 132/148, 973/594 is

GCF of Numerators i.e. for 582,132,973 is 1

LCM of denominators i.e. for 143,148,594 is 571428.

Thus, GCF of Fractions is 1/571428.Finally, GCF of Fractions for 582/143, 132/148, 973/594 is 1/571428.