GCD of 252, 186, 97, 728 Calculator

Given Input numbers are 252, 186, 97, 728

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

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Greatest Common Divisior

We found the divisors of 252, 186, 97, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 186, 97, 728 is 1.

Therefore, GCD of numbers 252, 186, 97, 728 is 1

Given Input Data is 252, 186, 97, 728

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

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 186 is 2 x 3 x 31

Prime Factorization of 97 is 97

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

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(252, 186) = 7812

GCD(252, 186) = ( 252 x 186 ) / 7812

GCD(252, 186) = 46872 / 7812

GCD(252, 186) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 97

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

LCM(6, 97) = 582

GCD(6, 97) = ( 6 x 97 ) / 582

GCD(6, 97) = 582 / 582

GCD(6, 97) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 728

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

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

GCD(1, 728) = 728 / 728

GCD(1, 728) = 1

GCD of 252, 186, 97, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 676, 313, 26, 115
• GCD of 238, 183, 99, 594
• GCD of 252, 914, 99, 516
• GCD of 998, 915, 36, 715
• GCD of 584, 970, 67, 896

1. What is the GCD of 252, 186, 97, 728?

GCD of 252, 186, 97, 728 is 1

2. Where do I get the detailed procedure to find GCD of 252, 186, 97, 728?

You can find a detailed procedure to find GCD of 252, 186, 97, 728 on our page.

3. How to find GCD of 252, 186, 97, 728 on a calculator?

You can find the GCD of 252, 186, 97, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.