GCD of 20, 189, 693, 917 Calculator

Given Input numbers are 20, 189, 693, 917

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

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Greatest Common Divisior

We found the divisors of 20, 189, 693, 917 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 189, 693, 917 is 1.

Therefore, GCD of numbers 20, 189, 693, 917 is 1

Given Input Data is 20, 189, 693, 917

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 917 is 7 x 131

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(20, 189) = 3780

GCD(20, 189) = ( 20 x 189 ) / 3780

GCD(20, 189) = 3780 / 3780

GCD(20, 189) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 693

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

LCM(1, 693) = 693

GCD(1, 693) = ( 1 x 693 ) / 693

GCD(1, 693) = 693 / 693

GCD(1, 693) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 917

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

LCM(1, 917) = 917

GCD(1, 917) = ( 1 x 917 ) / 917

GCD(1, 917) = 917 / 917

GCD(1, 917) = 1

GCD of 20, 189, 693, 917 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 54, 441, 847, 209
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• GCD of 54, 525, 860, 399

1. What is the GCD of 20, 189, 693, 917?

GCD of 20, 189, 693, 917 is 1

2. Where do I get the detailed procedure to find GCD of 20, 189, 693, 917?

You can find a detailed procedure to find GCD of 20, 189, 693, 917 on our page.

3. How to find GCD of 20, 189, 693, 917 on a calculator?

You can find the GCD of 20, 189, 693, 917 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.