GCD of 31, 151, 170, 172 Calculator

Given Input numbers are 31, 151, 170, 172

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

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 151

List of positive integer divisors of 151 that divides 151 without a remainder.

1, 151

Divisors of 170

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

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

Divisors of 172

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

1, 2, 4, 43, 86, 172

Greatest Common Divisior

We found the divisors of 31, 151, 170, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 151, 170, 172 is 1.

Therefore, GCD of numbers 31, 151, 170, 172 is 1

Given Input Data is 31, 151, 170, 172

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

Prime Factorization of 31 is 31

Prime Factorization of 151 is 151

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 172 is 2 x 2 x 43

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(31, 151) = 4681

GCD(31, 151) = ( 31 x 151 ) / 4681

GCD(31, 151) = 4681 / 4681

GCD(31, 151) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 172

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

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

GCD(1, 172) = 172 / 172

GCD(1, 172) = 1

GCD of 31, 151, 170, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 97, 664, 615, 204
• GCD of 23, 170, 455, 414
• GCD of 15, 833, 824, 917
• GCD of 42, 307, 782, 351
• GCD of 96, 879, 366, 456

1. What is the GCD of 31, 151, 170, 172?

GCD of 31, 151, 170, 172 is 1

2. Where do I get the detailed procedure to find GCD of 31, 151, 170, 172?

You can find a detailed procedure to find GCD of 31, 151, 170, 172 on our page.

3. How to find GCD of 31, 151, 170, 172 on a calculator?

You can find the GCD of 31, 151, 170, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.