GCD of 983, 556, 31, 171 Calculator

Given Input numbers are 983, 556, 31, 171

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

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Divisors of 31

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

1, 31

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Greatest Common Divisior

We found the divisors of 983, 556, 31, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 983, 556, 31, 171 is 1.

Therefore, GCD of numbers 983, 556, 31, 171 is 1

Given Input Data is 983, 556, 31, 171

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

Prime Factorization of 983 is 983

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 31 is 31

Prime Factorization of 171 is 3 x 3 x 19

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(983, 556) = 546548

GCD(983, 556) = ( 983 x 556 ) / 546548

GCD(983, 556) = 546548 / 546548

GCD(983, 556) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 171

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

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

GCD(1, 171) = 171 / 171

GCD(1, 171) = 1

GCD of 983, 556, 31, 171 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 463, 576, 84, 581
• GCD of 200, 971, 47, 173
• GCD of 753, 807, 91, 831
• GCD of 997, 327, 76, 101
• GCD of 225, 832, 43, 634

1. What is the GCD of 983, 556, 31, 171?

GCD of 983, 556, 31, 171 is 1

2. Where do I get the detailed procedure to find GCD of 983, 556, 31, 171?

You can find a detailed procedure to find GCD of 983, 556, 31, 171 on our page.

3. How to find GCD of 983, 556, 31, 171 on a calculator?

You can find the GCD of 983, 556, 31, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.