GCD of 690, 217, 18 Calculator

Given Input numbers are 690, 217, 18

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

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Greatest Common Divisior

We found the divisors of 690, 217, 18 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 217, 18 is 1.

Therefore, GCD of numbers 690, 217, 18 is 1

Given Input Data is 690, 217, 18

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

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 217 is 7 x 31

Prime Factorization of 18 is 2 x 3 x 3

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(690, 217) = 149730

GCD(690, 217) = ( 690 x 217 ) / 149730

GCD(690, 217) = 149730 / 149730

GCD(690, 217) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1

GCD of 690, 217, 18 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 365, 127, 85
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• GCD of 532, 680, 66
• GCD of 369, 299, 94

1. What is the GCD of 690, 217, 18?

GCD of 690, 217, 18 is 1

2. Where do I get the detailed procedure to find GCD of 690, 217, 18?

You can find a detailed procedure to find GCD of 690, 217, 18 on our page.

3. How to find GCD of 690, 217, 18 on a calculator?

You can find the GCD of 690, 217, 18 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.