GCD of 172, 551, 724, 983 Calculator

Given Input numbers are 172, 551, 724, 983

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 551

List of positive integer divisors of 551 that divides 551 without a remainder.

1, 19, 29, 551

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 983

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

1, 983

Greatest Common Divisior

We found the divisors of 172, 551, 724, 983 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 551, 724, 983 is 1.

Therefore, GCD of numbers 172, 551, 724, 983 is 1

Given Input Data is 172, 551, 724, 983

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 551 is 19 x 29

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 983 is 983

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, 551) = 94772

GCD(172, 551) = ( 172 x 551 ) / 94772

GCD(172, 551) = 94772 / 94772

GCD(172, 551) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 724

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

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

GCD(1, 724) = 724 / 724

GCD(1, 724) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 983

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

LCM(1, 983) = 983

GCD(1, 983) = ( 1 x 983 ) / 983

GCD(1, 983) = 983 / 983

GCD(1, 983) = 1

GCD of 172, 551, 724, 983 is 1

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1. What is the GCD of 172, 551, 724, 983?

GCD of 172, 551, 724, 983 is 1

2. Where do I get the detailed procedure to find GCD of 172, 551, 724, 983?

You can find a detailed procedure to find GCD of 172, 551, 724, 983 on our page.

3. How to find GCD of 172, 551, 724, 983 on a calculator?

You can find the GCD of 172, 551, 724, 983 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.