Greatest Common Factor of 432/74, 589/5658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 432/74, 589/5658

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 432/74,589/5658

Given fractions are 432/74,589/5658

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 432,589

Greatest Common Factor of Numerators i.e. GCF of 432,589 is 1 .

LCM of Denominators means LCM of 74,5658 as per the given fractions.

LCM of 74,5658 is 209346 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 432,589

GCF of Fractions 432/74,589/5658 is 1/209346

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

Greatest Common Factor of 432,589 By Matching Biggest Common Factor Method

Greatest Common Factor of 432,589 By Matching Biggest Common Factor Method

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Greatest Common Factor

We found the factors 432,589 . The biggest common factor number is the GCF number.
So the greatest common factor 432,589 is 1.

Lets's calculate LCM of 74,5658

2 74, 5658
37, 2829

∴ So the LCM of the given numbers is 2 x 37 x 2829 = 209346

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/209346

Therefore, the GCF of Fractions 432/74,589/5658 is 1/209346

Least Common Multiple of 74,5658 with GCF Formula

Least Common Multiple of 74,5658 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 74,5658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,5658) = 2

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

GCF(74,5658) x common factors =2 x 1 = 2

LCM(74,5658) = ( 74 × 5658 ) / 2

LCM(74,5658) = 418692 / 2

LCM(74,5658) = 209346


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 432/74, 589/5658

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 432/74, 589/5658?

Answer: GCF of Numerators as per given numbers 432/74, 589/5658 is

GCF of Numerators i.e. for 432,589 is 1

LCM of denominators i.e. for 74,5658 is 209346.

Thus, GCF of Fractions is 1/209346.Finally, GCF of Fractions for 432/74, 589/5658 is 1/209346.