GCD of 252, 452, 582 Calculator

Given Input numbers are 252, 452, 582

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

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 452

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

1, 2, 4, 113, 226, 452

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Greatest Common Divisior

We found the divisors of 252, 452, 582 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 452, 582 is 2.

Therefore, GCD of numbers 252, 452, 582 is 2

Given Input Data is 252, 452, 582

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

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 452 is 2 x 2 x 113

Prime Factorization of 582 is 2 x 3 x 97

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(252, 452) = 28476

GCD(252, 452) = ( 252 x 452 ) / 28476

GCD(252, 452) = 113904 / 28476

GCD(252, 452) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 582

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

LCM(4, 582) = 1164

GCD(4, 582) = ( 4 x 582 ) / 1164

GCD(4, 582) = 2328 / 1164

GCD(4, 582) = 2

GCD of 252, 452, 582 is 2

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1. What is the GCD of 252, 452, 582?

GCD of 252, 452, 582 is 2

2. Where do I get the detailed procedure to find GCD of 252, 452, 582?

You can find a detailed procedure to find GCD of 252, 452, 582 on our page.

3. How to find GCD of 252, 452, 582 on a calculator?

You can find the GCD of 252, 452, 582 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.