GCD of 217, 372, 31, 690 Calculator

Given Input numbers are 217, 372, 31, 690

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

Divisors of 217

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

1, 7, 31, 217

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

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

Greatest Common Divisior

We found the divisors of 217, 372, 31, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 372, 31, 690 is 1.

Therefore, GCD of numbers 217, 372, 31, 690 is 1

Given Input Data is 217, 372, 31, 690

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 372 is 2 x 2 x 3 x 31

Prime Factorization of 31 is 31

Prime Factorization of 690 is 2 x 3 x 5 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(217, 372) = 2604

GCD(217, 372) = ( 217 x 372 ) / 2604

GCD(217, 372) = 80724 / 2604

GCD(217, 372) = 31

Step2:

Here we consider the GCD from the above i.e. 31 as first number and the next as 31

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

LCM(31, 31) = 31

GCD(31, 31) = ( 31 x 31 ) / 31

GCD(31, 31) = 961 / 31

GCD(31, 31) = 31

Step3:

Here we consider the GCD from the above i.e. 31 as first number and the next as 690

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

LCM(31, 690) = 21390

GCD(31, 690) = ( 31 x 690 ) / 21390

GCD(31, 690) = 21390 / 21390

GCD(31, 690) = 1

GCD of 217, 372, 31, 690 is 1

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1. What is the GCD of 217, 372, 31, 690?

GCD of 217, 372, 31, 690 is 1

2. Where do I get the detailed procedure to find GCD of 217, 372, 31, 690?

You can find a detailed procedure to find GCD of 217, 372, 31, 690 on our page.

3. How to find GCD of 217, 372, 31, 690 on a calculator?

You can find the GCD of 217, 372, 31, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.