GCD of 408, 657, 45, 604 Calculator

Given Input numbers are 408, 657, 45, 604

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

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 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Greatest Common Divisior

We found the divisors of 408, 657, 45, 604 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 408, 657, 45, 604 is 1.

Therefore, GCD of numbers 408, 657, 45, 604 is 1

Given Input Data is 408, 657, 45, 604

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

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

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 604 is 2 x 2 x 151

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(408, 657) = 89352

GCD(408, 657) = ( 408 x 657 ) / 89352

GCD(408, 657) = 268056 / 89352

GCD(408, 657) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 45

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

LCM(3, 45) = 45

GCD(3, 45) = ( 3 x 45 ) / 45

GCD(3, 45) = 135 / 45

GCD(3, 45) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 604

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

LCM(3, 604) = 1812

GCD(3, 604) = ( 3 x 604 ) / 1812

GCD(3, 604) = 1812 / 1812

GCD(3, 604) = 1

GCD of 408, 657, 45, 604 is 1

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1. What is the GCD of 408, 657, 45, 604?

GCD of 408, 657, 45, 604 is 1

2. Where do I get the detailed procedure to find GCD of 408, 657, 45, 604?

You can find a detailed procedure to find GCD of 408, 657, 45, 604 on our page.

3. How to find GCD of 408, 657, 45, 604 on a calculator?

You can find the GCD of 408, 657, 45, 604 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.