Greatest Common Factor of 600/847, 487/174, 446/394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 600/847, 487/174, 446/394

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 600/847,487/174,446/394

Given fractions are 600/847,487/174,446/394

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 600,487,446

Greatest Common Factor of Numerators i.e. GCF of 600,487,446 is 1 .

LCM of Denominators means LCM of 847,174,394 as per the given fractions.

LCM of 847,174,394 is 29033466 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 600,487,446

GCF of Fractions 600/847,487/174,446/394 is 1/29033466

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

Greatest Common Factor of 600,487,446 By Matching Biggest Common Factor Method

Greatest Common Factor of 600,487,446 By Matching Biggest Common Factor Method

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 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Greatest Common Factor

We found the factors 600,487,446 . The biggest common factor number is the GCF number.
So the greatest common factor 600,487,446 is 1.

Lets's calculate LCM of 847,174,394

2 847, 174, 394
847, 87, 197

∴ So the LCM of the given numbers is 2 x 847 x 87 x 197 = 29033466

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29033466

Therefore, the GCF of Fractions 600/847,487/174,446/394 is 1/29033466

Least Common Multiple of 847,174,394 with GCF Formula

Least Common Multiple of 847,174,394 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 847,174,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(847,174,394) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(847,174,394) x common factors =1 x 2 = 2

LCM(847,174,394) = ( 847 × 174 × 394 ) / 2

LCM(847,174,394) = 58066932 / 2

LCM(847,174,394) = 29033466


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 600/847, 487/174, 446/394

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 600/847, 487/174, 446/394?

Answer: GCF of Numerators as per given numbers 600/847, 487/174, 446/394 is

GCF of Numerators i.e. for 600,487,446 is 1

LCM of denominators i.e. for 847,174,394 is 29033466.

Thus, GCF of Fractions is 1/29033466.Finally, GCF of Fractions for 600/847, 487/174, 446/394 is 1/29033466.