GCD of 597, 972, 52, 446 Calculator

Given Input numbers are 597, 972, 52, 446

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

Divisors of 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 446

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

1, 2, 223, 446

Greatest Common Divisior

We found the divisors of 597, 972, 52, 446 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 597, 972, 52, 446 is 1.

Therefore, GCD of numbers 597, 972, 52, 446 is 1

Given Input Data is 597, 972, 52, 446

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

Prime Factorization of 597 is 3 x 199

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 446 is 2 x 223

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(597, 972) = 193428

GCD(597, 972) = ( 597 x 972 ) / 193428

GCD(597, 972) = 580284 / 193428

GCD(597, 972) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 52

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

LCM(3, 52) = 156

GCD(3, 52) = ( 3 x 52 ) / 156

GCD(3, 52) = 156 / 156

GCD(3, 52) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 446

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

LCM(1, 446) = 446

GCD(1, 446) = ( 1 x 446 ) / 446

GCD(1, 446) = 446 / 446

GCD(1, 446) = 1

GCD of 597, 972, 52, 446 is 1

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1. What is the GCD of 597, 972, 52, 446?

GCD of 597, 972, 52, 446 is 1

2. Where do I get the detailed procedure to find GCD of 597, 972, 52, 446?

You can find a detailed procedure to find GCD of 597, 972, 52, 446 on our page.

3. How to find GCD of 597, 972, 52, 446 on a calculator?

You can find the GCD of 597, 972, 52, 446 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.