Greatest Common Factor of 724/374, 8586/605

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 724/374, 8586/605

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 724/374,8586/605

Given fractions are 724/374,8586/605

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 724,8586

Greatest Common Factor of Numerators i.e. GCF of 724,8586 is 2 .

LCM of Denominators means LCM of 374,605 as per the given fractions.

LCM of 374,605 is 20570 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 724,8586

GCF of Fractions 724/374,8586/605 is 2/20570

2 724, 8586
362, 4293

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

Greatest Common Factor of 724,8586 By Matching Biggest Common Factor Method

Greatest Common Factor of 724,8586 By Matching Biggest Common Factor Method

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Factors of 8586

List of positive integer factors of 8586 that divides 8586 without a remainder.

1,2,3,6,9,18,27,53,54,81,106,159,162,318,477,954,1431,2862,4293,8586

Greatest Common Factor

We found the factors 724,8586 . The biggest common factor number is the GCF number.
So the greatest common factor 724,8586 is 2.

Lets's calculate LCM of 374,605

11 374, 605
34, 55

∴ So the LCM of the given numbers is 11 x 34 x 55 = 20570

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/20570

Therefore, the GCF of Fractions 724/374,8586/605 is 2/20570

Least Common Multiple of 374,605 with GCF Formula

Least Common Multiple of 374,605 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 374,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(374,605) = 11

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

GCF(374,605) x common factors =11 x 1 = 11

LCM(374,605) = ( 374 × 605 ) / 11

LCM(374,605) = 226270 / 11

LCM(374,605) = 20570


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 724/374, 8586/605

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 724/374, 8586/605?

Answer: GCF of Numerators as per given numbers 724/374, 8586/605 is

GCF of Numerators i.e. for 724,8586 is 2

LCM of denominators i.e. for 374,605 is 20570.

Thus, GCF of Fractions is 2/20570.Finally, GCF of Fractions for 724/374, 8586/605 is 2/20570.