GCD of 172, 989, 609 Calculator

Given Input numbers are 172, 989, 609

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 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Greatest Common Divisior

We found the divisors of 172, 989, 609 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 989, 609 is 1.

Therefore, GCD of numbers 172, 989, 609 is 1

Given Input Data is 172, 989, 609

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 989 is 23 x 43

Prime Factorization of 609 is 3 x 7 x 29

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, 989) = 3956

GCD(172, 989) = ( 172 x 989 ) / 3956

GCD(172, 989) = 170108 / 3956

GCD(172, 989) = 43

Step2:

Here we consider the GCD from the above i.e. 43 as first number and the next as 609

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

LCM(43, 609) = 26187

GCD(43, 609) = ( 43 x 609 ) / 26187

GCD(43, 609) = 26187 / 26187

GCD(43, 609) = 1

GCD of 172, 989, 609 is 1

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1. What is the GCD of 172, 989, 609?

GCD of 172, 989, 609 is 1

2. Where do I get the detailed procedure to find GCD of 172, 989, 609?

You can find a detailed procedure to find GCD of 172, 989, 609 on our page.

3. How to find GCD of 172, 989, 609 on a calculator?

You can find the GCD of 172, 989, 609 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.