GCD of 452, 656, 33, 421 Calculator

Given Input numbers are 452, 656, 33, 421

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

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Greatest Common Divisior

We found the divisors of 452, 656, 33, 421 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 452, 656, 33, 421 is 1.

Therefore, GCD of numbers 452, 656, 33, 421 is 1

Given Input Data is 452, 656, 33, 421

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

Prime Factorization of 452 is 2 x 2 x 113

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 33 is 3 x 11

Prime Factorization of 421 is 421

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(452, 656) = 74128

GCD(452, 656) = ( 452 x 656 ) / 74128

GCD(452, 656) = 296512 / 74128

GCD(452, 656) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 33

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

LCM(4, 33) = 132

GCD(4, 33) = ( 4 x 33 ) / 132

GCD(4, 33) = 132 / 132

GCD(4, 33) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 421

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

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

GCD(1, 421) = 421 / 421

GCD(1, 421) = 1

GCD of 452, 656, 33, 421 is 1

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1. What is the GCD of 452, 656, 33, 421?

GCD of 452, 656, 33, 421 is 1

2. Where do I get the detailed procedure to find GCD of 452, 656, 33, 421?

You can find a detailed procedure to find GCD of 452, 656, 33, 421 on our page.

3. How to find GCD of 452, 656, 33, 421 on a calculator?

You can find the GCD of 452, 656, 33, 421 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.