GCD of 172, 201, 17, 723 Calculator

Given Input numbers are 172, 201, 17, 723

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 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Greatest Common Divisior

We found the divisors of 172, 201, 17, 723 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 201, 17, 723 is 1.

Therefore, GCD of numbers 172, 201, 17, 723 is 1

Given Input Data is 172, 201, 17, 723

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 201 is 3 x 67

Prime Factorization of 17 is 17

Prime Factorization of 723 is 3 x 241

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, 201) = 34572

GCD(172, 201) = ( 172 x 201 ) / 34572

GCD(172, 201) = 34572 / 34572

GCD(172, 201) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 723

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

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

GCD(1, 723) = 723 / 723

GCD(1, 723) = 1

GCD of 172, 201, 17, 723 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 195, 882, 51, 854
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• GCD of 991, 677, 18, 341

1. What is the GCD of 172, 201, 17, 723?

GCD of 172, 201, 17, 723 is 1

2. Where do I get the detailed procedure to find GCD of 172, 201, 17, 723?

You can find a detailed procedure to find GCD of 172, 201, 17, 723 on our page.

3. How to find GCD of 172, 201, 17, 723 on a calculator?

You can find the GCD of 172, 201, 17, 723 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.