GCD of 61, 446, 728, 591 Calculator

Given Input numbers are 61, 446, 728, 591

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

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

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

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Greatest Common Divisior

We found the divisors of 61, 446, 728, 591 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 61, 446, 728, 591 is 1.

Therefore, GCD of numbers 61, 446, 728, 591 is 1

Given Input Data is 61, 446, 728, 591

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

Prime Factorization of 61 is 61

Prime Factorization of 446 is 2 x 223

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

Prime Factorization of 591 is 3 x 197

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(61, 446) = 27206

GCD(61, 446) = ( 61 x 446 ) / 27206

GCD(61, 446) = 27206 / 27206

GCD(61, 446) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 591

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

LCM(1, 591) = 591

GCD(1, 591) = ( 1 x 591 ) / 591

GCD(1, 591) = 591 / 591

GCD(1, 591) = 1

GCD of 61, 446, 728, 591 is 1

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1. What is the GCD of 61, 446, 728, 591?

GCD of 61, 446, 728, 591 is 1

2. Where do I get the detailed procedure to find GCD of 61, 446, 728, 591?

You can find a detailed procedure to find GCD of 61, 446, 728, 591 on our page.

3. How to find GCD of 61, 446, 728, 591 on a calculator?

You can find the GCD of 61, 446, 728, 591 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.