GCD of 173, 596, 864, 420 Calculator

Given Input numbers are 173, 596, 864, 420

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

Divisors of 173

List of positive integer divisors of 173 that divides 173 without a remainder.

1, 173

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Greatest Common Divisior

We found the divisors of 173, 596, 864, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 173, 596, 864, 420 is 1.

Therefore, GCD of numbers 173, 596, 864, 420 is 1

Given Input Data is 173, 596, 864, 420

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

Prime Factorization of 173 is 173

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

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(173, 596) = 103108

GCD(173, 596) = ( 173 x 596 ) / 103108

GCD(173, 596) = 103108 / 103108

GCD(173, 596) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 864

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

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

GCD(1, 864) = 864 / 864

GCD(1, 864) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

GCD of 173, 596, 864, 420 is 1

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1. What is the GCD of 173, 596, 864, 420?

GCD of 173, 596, 864, 420 is 1

2. Where do I get the detailed procedure to find GCD of 173, 596, 864, 420?

You can find a detailed procedure to find GCD of 173, 596, 864, 420 on our page.

3. How to find GCD of 173, 596, 864, 420 on a calculator?

You can find the GCD of 173, 596, 864, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.