GCD of 47, 446, 361, 533 Calculator

Given Input numbers are 47, 446, 361, 533

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

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 446

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

1, 2, 223, 446

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Greatest Common Divisior

We found the divisors of 47, 446, 361, 533 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 47, 446, 361, 533 is 1.

Therefore, GCD of numbers 47, 446, 361, 533 is 1

Given Input Data is 47, 446, 361, 533

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

Prime Factorization of 47 is 47

Prime Factorization of 446 is 2 x 223

Prime Factorization of 361 is 19 x 19

Prime Factorization of 533 is 13 x 41

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(47, 446) = 20962

GCD(47, 446) = ( 47 x 446 ) / 20962

GCD(47, 446) = 20962 / 20962

GCD(47, 446) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 533

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

LCM(1, 533) = 533

GCD(1, 533) = ( 1 x 533 ) / 533

GCD(1, 533) = 533 / 533

GCD(1, 533) = 1

GCD of 47, 446, 361, 533 is 1

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1. What is the GCD of 47, 446, 361, 533?

GCD of 47, 446, 361, 533 is 1

2. Where do I get the detailed procedure to find GCD of 47, 446, 361, 533?

You can find a detailed procedure to find GCD of 47, 446, 361, 533 on our page.

3. How to find GCD of 47, 446, 361, 533 on a calculator?

You can find the GCD of 47, 446, 361, 533 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.