GCD of 172, 990, 369, 170 Calculator

Given Input numbers are 172, 990, 369, 170

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 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Greatest Common Divisior

We found the divisors of 172, 990, 369, 170 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 990, 369, 170 is 1.

Therefore, GCD of numbers 172, 990, 369, 170 is 1

Given Input Data is 172, 990, 369, 170

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 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 170 is 2 x 5 x 17

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, 990) = 85140

GCD(172, 990) = ( 172 x 990 ) / 85140

GCD(172, 990) = 170280 / 85140

GCD(172, 990) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 369

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

LCM(2, 369) = 738

GCD(2, 369) = ( 2 x 369 ) / 738

GCD(2, 369) = 738 / 738

GCD(2, 369) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 170

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

LCM(1, 170) = 170

GCD(1, 170) = ( 1 x 170 ) / 170

GCD(1, 170) = 170 / 170

GCD(1, 170) = 1

GCD of 172, 990, 369, 170 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 431, 343, 299, 613
• GCD of 264, 722, 496, 564
• GCD of 991, 265, 148, 942
• GCD of 821, 846, 754, 704
• GCD of 342, 977, 750, 512

1. What is the GCD of 172, 990, 369, 170?

GCD of 172, 990, 369, 170 is 1

2. Where do I get the detailed procedure to find GCD of 172, 990, 369, 170?

You can find a detailed procedure to find GCD of 172, 990, 369, 170 on our page.

3. How to find GCD of 172, 990, 369, 170 on a calculator?

You can find the GCD of 172, 990, 369, 170 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.