GCD of 470, 285, 600 Calculator

Given Input numbers are 470, 285, 600

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 600

List of positive integer divisors 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

Greatest Common Divisior

We found the divisors of 470, 285, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 285, 600 is 5.

Therefore, GCD of numbers 470, 285, 600 is 5

Given Input Data is 470, 285, 600

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 285 is 3 x 5 x 19

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(470, 285) = 26790

GCD(470, 285) = ( 470 x 285 ) / 26790

GCD(470, 285) = 133950 / 26790

GCD(470, 285) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 600

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(5, 600) = 600

GCD(5, 600) = ( 5 x 600 ) / 600

GCD(5, 600) = 3000 / 600

GCD(5, 600) = 5

GCD of 470, 285, 600 is 5

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1. What is the GCD of 470, 285, 600?

GCD of 470, 285, 600 is 5

2. Where do I get the detailed procedure to find GCD of 470, 285, 600?

You can find a detailed procedure to find GCD of 470, 285, 600 on our page.

3. How to find GCD of 470, 285, 600 on a calculator?

You can find the GCD of 470, 285, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.