Greatest Common Factor of 323/709, 600/819, 565/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 323/709, 600/819, 565/312

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 323/709,600/819,565/312

Given fractions are 323/709,600/819,565/312

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 323,600,565

Greatest Common Factor of Numerators i.e. GCF of 323,600,565 is 1 .

LCM of Denominators means LCM of 709,819,312 as per the given fractions.

LCM of 709,819,312 is 4645368 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 323,600,565

GCF of Fractions 323/709,600/819,565/312 is 1/4645368

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

Greatest Common Factor of 323,600,565 By Matching Biggest Common Factor Method

Greatest Common Factor of 323,600,565 By Matching Biggest Common Factor Method

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Greatest Common Factor

We found the factors 323,600,565 . The biggest common factor number is the GCF number.
So the greatest common factor 323,600,565 is 1.

Lets's calculate LCM of 709,819,312

3 709, 819, 312
13 709, 273, 104
709, 21, 8

∴ So the LCM of the given numbers is 3 x 13 x 709 x 21 x 8 = 4645368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4645368

Therefore, the GCF of Fractions 323/709,600/819,565/312 is 1/4645368

Least Common Multiple of 709,819,312 with GCF Formula

Least Common Multiple of 709,819,312 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 709,819,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(709,819,312) = 1

common factors(in case of two or more numbers have common factors) = 39

GCF(709,819,312) x common factors =1 x 39 = 39

LCM(709,819,312) = ( 709 × 819 × 312 ) / 39

LCM(709,819,312) = 181169352 / 39

LCM(709,819,312) = 4645368


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 323/709, 600/819, 565/312

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 323/709, 600/819, 565/312?

Answer: GCF of Numerators as per given numbers 323/709, 600/819, 565/312 is

GCF of Numerators i.e. for 323,600,565 is 1

LCM of denominators i.e. for 709,819,312 is 4645368.

Thus, GCF of Fractions is 1/4645368.Finally, GCF of Fractions for 323/709, 600/819, 565/312 is 1/4645368.