Greatest Common Factor of 423/580, 1532/218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 423/580, 1532/218

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 423/580,1532/218

Given fractions are 423/580,1532/218

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 423,1532

Greatest Common Factor of Numerators i.e. GCF of 423,1532 is 1 .

LCM of Denominators means LCM of 580,218 as per the given fractions.

LCM of 580,218 is 63220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 423,1532

GCF of Fractions 423/580,1532/218 is 1/63220

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

Greatest Common Factor of 423,1532 By Matching Biggest Common Factor Method

Greatest Common Factor of 423,1532 By Matching Biggest Common Factor Method

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Factors of 1532

List of positive integer factors of 1532 that divides 1532 without a remainder.

1,2,4,383,766,1532

Greatest Common Factor

We found the factors 423,1532 . The biggest common factor number is the GCF number.
So the greatest common factor 423,1532 is 1.

Lets's calculate LCM of 580,218

2 580, 218
290, 109

∴ So the LCM of the given numbers is 2 x 290 x 109 = 63220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63220

Therefore, the GCF of Fractions 423/580,1532/218 is 1/63220

Least Common Multiple of 580,218 with GCF Formula

Least Common Multiple of 580,218 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 580,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(580,218) = 2

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

GCF(580,218) x common factors =2 x 1 = 2

LCM(580,218) = ( 580 × 218 ) / 2

LCM(580,218) = 126440 / 2

LCM(580,218) = 63220


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 423/580, 1532/218

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 423/580, 1532/218?

Answer: GCF of Numerators as per given numbers 423/580, 1532/218 is

GCF of Numerators i.e. for 423,1532 is 1

LCM of denominators i.e. for 580,218 is 63220.

Thus, GCF of Fractions is 1/63220.Finally, GCF of Fractions for 423/580, 1532/218 is 1/63220.