GCD of 654, 413, 17, 644 Calculator

Given Input numbers are 654, 413, 17, 644

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

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Greatest Common Divisior

We found the divisors of 654, 413, 17, 644 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 413, 17, 644 is 1.

Therefore, GCD of numbers 654, 413, 17, 644 is 1

Given Input Data is 654, 413, 17, 644

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

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 413 is 7 x 59

Prime Factorization of 17 is 17

Prime Factorization of 644 is 2 x 2 x 7 x 23

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(654, 413) = 270102

GCD(654, 413) = ( 654 x 413 ) / 270102

GCD(654, 413) = 270102 / 270102

GCD(654, 413) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 644

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

LCM(1, 644) = 644

GCD(1, 644) = ( 1 x 644 ) / 644

GCD(1, 644) = 644 / 644

GCD(1, 644) = 1

GCD of 654, 413, 17, 644 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 168, 671, 48, 785
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• GCD of 711, 407, 95, 106
• GCD of 436, 234, 55, 173

1. What is the GCD of 654, 413, 17, 644?

GCD of 654, 413, 17, 644 is 1

2. Where do I get the detailed procedure to find GCD of 654, 413, 17, 644?

You can find a detailed procedure to find GCD of 654, 413, 17, 644 on our page.

3. How to find GCD of 654, 413, 17, 644 on a calculator?

You can find the GCD of 654, 413, 17, 644 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.