GCD of 365, 408, 648 Calculator

Given Input numbers are 365, 408, 648

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

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Greatest Common Divisior

We found the divisors of 365, 408, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 365, 408, 648 is 1.

Therefore, GCD of numbers 365, 408, 648 is 1

Given Input Data is 365, 408, 648

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

Prime Factorization of 365 is 5 x 73

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

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(365, 408) = 148920

GCD(365, 408) = ( 365 x 408 ) / 148920

GCD(365, 408) = 148920 / 148920

GCD(365, 408) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 648

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

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

GCD(1, 648) = 648 / 648

GCD(1, 648) = 1

GCD of 365, 408, 648 is 1

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1. What is the GCD of 365, 408, 648?

GCD of 365, 408, 648 is 1

2. Where do I get the detailed procedure to find GCD of 365, 408, 648?

You can find a detailed procedure to find GCD of 365, 408, 648 on our page.

3. How to find GCD of 365, 408, 648 on a calculator?

You can find the GCD of 365, 408, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.