GCD of 918, 170, 15, 204 Calculator

Given Input numbers are 918, 170, 15, 204

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

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Greatest Common Divisior

We found the divisors of 918, 170, 15, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 170, 15, 204 is 1.

Therefore, GCD of numbers 918, 170, 15, 204 is 1

Given Input Data is 918, 170, 15, 204

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

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 15 is 3 x 5

Prime Factorization of 204 is 2 x 2 x 3 x 17

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(918, 170) = 4590

GCD(918, 170) = ( 918 x 170 ) / 4590

GCD(918, 170) = 156060 / 4590

GCD(918, 170) = 34

Step2:

Here we consider the GCD from the above i.e. 34 as first number and the next as 15

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

LCM(34, 15) = 510

GCD(34, 15) = ( 34 x 15 ) / 510

GCD(34, 15) = 510 / 510

GCD(34, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 204

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

LCM(1, 204) = 204

GCD(1, 204) = ( 1 x 204 ) / 204

GCD(1, 204) = 204 / 204

GCD(1, 204) = 1

GCD of 918, 170, 15, 204 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 907, 749, 60, 491
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• GCD of 248, 924, 10, 580
• GCD of 715, 626, 61, 740

1. What is the GCD of 918, 170, 15, 204?

GCD of 918, 170, 15, 204 is 1

2. Where do I get the detailed procedure to find GCD of 918, 170, 15, 204?

You can find a detailed procedure to find GCD of 918, 170, 15, 204 on our page.

3. How to find GCD of 918, 170, 15, 204 on a calculator?

You can find the GCD of 918, 170, 15, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.