GCD of 369, 654, 17, 210 Calculator

Given Input numbers are 369, 654, 17, 210

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

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 17

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

1, 17

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Greatest Common Divisior

We found the divisors of 369, 654, 17, 210 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 654, 17, 210 is 1.

Therefore, GCD of numbers 369, 654, 17, 210 is 1

Given Input Data is 369, 654, 17, 210

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 17 is 17

Prime Factorization of 210 is 2 x 3 x 5 x 7

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(369, 654) = 80442

GCD(369, 654) = ( 369 x 654 ) / 80442

GCD(369, 654) = 241326 / 80442

GCD(369, 654) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 17

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

LCM(3, 17) = 51

GCD(3, 17) = ( 3 x 17 ) / 51

GCD(3, 17) = 51 / 51

GCD(3, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 210

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

LCM(1, 210) = 210

GCD(1, 210) = ( 1 x 210 ) / 210

GCD(1, 210) = 210 / 210

GCD(1, 210) = 1

GCD of 369, 654, 17, 210 is 1

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1. What is the GCD of 369, 654, 17, 210?

GCD of 369, 654, 17, 210 is 1

2. Where do I get the detailed procedure to find GCD of 369, 654, 17, 210?

You can find a detailed procedure to find GCD of 369, 654, 17, 210 on our page.

3. How to find GCD of 369, 654, 17, 210 on a calculator?

You can find the GCD of 369, 654, 17, 210 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.