GCD of 432, 605, 36, 370 Calculator

Given Input numbers are 432, 605, 36, 370

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 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Greatest Common Divisior

We found the divisors of 432, 605, 36, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 605, 36, 370 is 1.

Therefore, GCD of numbers 432, 605, 36, 370 is 1

Given Input Data is 432, 605, 36, 370

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 605 is 5 x 11 x 11

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 370 is 2 x 5 x 37

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(432, 605) = 261360

GCD(432, 605) = ( 432 x 605 ) / 261360

GCD(432, 605) = 261360 / 261360

GCD(432, 605) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 370

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

LCM(1, 370) = 370

GCD(1, 370) = ( 1 x 370 ) / 370

GCD(1, 370) = 370 / 370

GCD(1, 370) = 1

GCD of 432, 605, 36, 370 is 1

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1. What is the GCD of 432, 605, 36, 370?

GCD of 432, 605, 36, 370 is 1

2. Where do I get the detailed procedure to find GCD of 432, 605, 36, 370?

You can find a detailed procedure to find GCD of 432, 605, 36, 370 on our page.

3. How to find GCD of 432, 605, 36, 370 on a calculator?

You can find the GCD of 432, 605, 36, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.