GCD of 172, 232, 85, 322 Calculator

Given Input numbers are 172, 232, 85, 322

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 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Greatest Common Divisior

We found the divisors of 172, 232, 85, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 232, 85, 322 is 1.

Therefore, GCD of numbers 172, 232, 85, 322 is 1

Given Input Data is 172, 232, 85, 322

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 232 is 2 x 2 x 2 x 29

Prime Factorization of 85 is 5 x 17

Prime Factorization of 322 is 2 x 7 x 23

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, 232) = 9976

GCD(172, 232) = ( 172 x 232 ) / 9976

GCD(172, 232) = 39904 / 9976

GCD(172, 232) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 85

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

LCM(4, 85) = 340

GCD(4, 85) = ( 4 x 85 ) / 340

GCD(4, 85) = 340 / 340

GCD(4, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 322

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

LCM(1, 322) = 322

GCD(1, 322) = ( 1 x 322 ) / 322

GCD(1, 322) = 322 / 322

GCD(1, 322) = 1

GCD of 172, 232, 85, 322 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 267, 861, 10, 568
• GCD of 371, 594, 46, 996
• GCD of 797, 226, 92, 168
• GCD of 436, 169, 66, 455
• GCD of 597, 765, 91, 958

1. What is the GCD of 172, 232, 85, 322?

GCD of 172, 232, 85, 322 is 1

2. Where do I get the detailed procedure to find GCD of 172, 232, 85, 322?

You can find a detailed procedure to find GCD of 172, 232, 85, 322 on our page.

3. How to find GCD of 172, 232, 85, 322 on a calculator?

You can find the GCD of 172, 232, 85, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.