GCD of 600, 657, 595, 171 Calculator

Given Input numbers are 600, 657, 595, 171

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

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

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 595

List of positive integer divisors of 595 that divides 595 without a remainder.

1, 5, 7, 17, 35, 85, 119, 595

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Greatest Common Divisior

We found the divisors of 600, 657, 595, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 657, 595, 171 is 1.

Therefore, GCD of numbers 600, 657, 595, 171 is 1

Given Input Data is 600, 657, 595, 171

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

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

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 595 is 5 x 7 x 17

Prime Factorization of 171 is 3 x 3 x 19

The above numbers do not have any common prime factor. So GCD is 1

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(600, 657) = 131400

GCD(600, 657) = ( 600 x 657 ) / 131400

GCD(600, 657) = 394200 / 131400

GCD(600, 657) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 595

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

LCM(3, 595) = 1785

GCD(3, 595) = ( 3 x 595 ) / 1785

GCD(3, 595) = 1785 / 1785

GCD(3, 595) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 171

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

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

GCD(1, 171) = 171 / 171

GCD(1, 171) = 1

GCD of 600, 657, 595, 171 is 1

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1. What is the GCD of 600, 657, 595, 171?

GCD of 600, 657, 595, 171 is 1

2. Where do I get the detailed procedure to find GCD of 600, 657, 595, 171?

You can find a detailed procedure to find GCD of 600, 657, 595, 171 on our page.

3. How to find GCD of 600, 657, 595, 171 on a calculator?

You can find the GCD of 600, 657, 595, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.