GCD of 432, 566, 362, 826 Calculator

Given Input numbers are 432, 566, 362, 826

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

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Greatest Common Divisior

We found the divisors of 432, 566, 362, 826 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 566, 362, 826 is 2.

Therefore, GCD of numbers 432, 566, 362, 826 is 2

Given Input Data is 432, 566, 362, 826

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

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 566 is 2 x 283

Prime Factorization of 362 is 2 x 181

Prime Factorization of 826 is 2 x 7 x 59

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(432, 566) = 122256

GCD(432, 566) = ( 432 x 566 ) / 122256

GCD(432, 566) = 244512 / 122256

GCD(432, 566) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 362

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

LCM(2, 362) = 362

GCD(2, 362) = ( 2 x 362 ) / 362

GCD(2, 362) = 724 / 362

GCD(2, 362) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 826

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

LCM(2, 826) = 826

GCD(2, 826) = ( 2 x 826 ) / 826

GCD(2, 826) = 1652 / 826

GCD(2, 826) = 2

GCD of 432, 566, 362, 826 is 2

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1. What is the GCD of 432, 566, 362, 826?

GCD of 432, 566, 362, 826 is 2

2. Where do I get the detailed procedure to find GCD of 432, 566, 362, 826?

You can find a detailed procedure to find GCD of 432, 566, 362, 826 on our page.

3. How to find GCD of 432, 566, 362, 826 on a calculator?

You can find the GCD of 432, 566, 362, 826 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.