GCD of 272, 398, 897, 636 Calculator

Given Input numbers are 272, 398, 897, 636

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

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Greatest Common Divisior

We found the divisors of 272, 398, 897, 636 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 398, 897, 636 is 1.

Therefore, GCD of numbers 272, 398, 897, 636 is 1

Given Input Data is 272, 398, 897, 636

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

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 398 is 2 x 199

Prime Factorization of 897 is 3 x 13 x 23

Prime Factorization of 636 is 2 x 2 x 3 x 53

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(272, 398) = 54128

GCD(272, 398) = ( 272 x 398 ) / 54128

GCD(272, 398) = 108256 / 54128

GCD(272, 398) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 897

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

LCM(2, 897) = 1794

GCD(2, 897) = ( 2 x 897 ) / 1794

GCD(2, 897) = 1794 / 1794

GCD(2, 897) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 636

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

LCM(1, 636) = 636

GCD(1, 636) = ( 1 x 636 ) / 636

GCD(1, 636) = 636 / 636

GCD(1, 636) = 1

GCD of 272, 398, 897, 636 is 1

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1. What is the GCD of 272, 398, 897, 636?

GCD of 272, 398, 897, 636 is 1

2. Where do I get the detailed procedure to find GCD of 272, 398, 897, 636?

You can find a detailed procedure to find GCD of 272, 398, 897, 636 on our page.

3. How to find GCD of 272, 398, 897, 636 on a calculator?

You can find the GCD of 272, 398, 897, 636 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.