GCD of 17, 664, 579, 200 Calculator

Given Input numbers are 17, 664, 579, 200

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

Divisors of 17

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

1, 17

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 579

List of positive integer divisors of 579 that divides 579 without a remainder.

1, 3, 193, 579

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Greatest Common Divisior

We found the divisors of 17, 664, 579, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 664, 579, 200 is 1.

Therefore, GCD of numbers 17, 664, 579, 200 is 1

Given Input Data is 17, 664, 579, 200

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

Prime Factorization of 17 is 17

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 579 is 3 x 193

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

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(17, 664) = 11288

GCD(17, 664) = ( 17 x 664 ) / 11288

GCD(17, 664) = 11288 / 11288

GCD(17, 664) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 579

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

LCM(1, 579) = 579

GCD(1, 579) = ( 1 x 579 ) / 579

GCD(1, 579) = 579 / 579

GCD(1, 579) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 200

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

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

GCD(1, 200) = 200 / 200

GCD(1, 200) = 1

GCD of 17, 664, 579, 200 is 1

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• GCD of 70, 281, 814, 638
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• GCD of 63, 364, 763, 206

1. What is the GCD of 17, 664, 579, 200?

GCD of 17, 664, 579, 200 is 1

2. Where do I get the detailed procedure to find GCD of 17, 664, 579, 200?

You can find a detailed procedure to find GCD of 17, 664, 579, 200 on our page.

3. How to find GCD of 17, 664, 579, 200 on a calculator?

You can find the GCD of 17, 664, 579, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.