GCD of 172, 887, 589, 692 Calculator

Given Input numbers are 172, 887, 589, 692

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

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 887

List of positive integer divisors of 887 that divides 887 without a remainder.

1, 887

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Greatest Common Divisior

We found the divisors of 172, 887, 589, 692 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 887, 589, 692 is 1.

Therefore, GCD of numbers 172, 887, 589, 692 is 1

Given Input Data is 172, 887, 589, 692

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

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 887 is 887

Prime Factorization of 589 is 19 x 31

Prime Factorization of 692 is 2 x 2 x 173

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(172, 887) = 152564

GCD(172, 887) = ( 172 x 887 ) / 152564

GCD(172, 887) = 152564 / 152564

GCD(172, 887) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 589

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

LCM(1, 589) = 589

GCD(1, 589) = ( 1 x 589 ) / 589

GCD(1, 589) = 589 / 589

GCD(1, 589) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 692

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

LCM(1, 692) = 692

GCD(1, 692) = ( 1 x 692 ) / 692

GCD(1, 692) = 692 / 692

GCD(1, 692) = 1

GCD of 172, 887, 589, 692 is 1

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1. What is the GCD of 172, 887, 589, 692?

GCD of 172, 887, 589, 692 is 1

2. Where do I get the detailed procedure to find GCD of 172, 887, 589, 692?

You can find a detailed procedure to find GCD of 172, 887, 589, 692 on our page.

3. How to find GCD of 172, 887, 589, 692 on a calculator?

You can find the GCD of 172, 887, 589, 692 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.