GCD of 462, 173, 11, 690 Calculator

Given Input numbers are 462, 173, 11, 690

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

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 173

List of positive integer divisors of 173 that divides 173 without a remainder.

1, 173

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

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 462, 173, 11, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 173, 11, 690 is 1.

Therefore, GCD of numbers 462, 173, 11, 690 is 1

Given Input Data is 462, 173, 11, 690

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

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 173 is 173

Prime Factorization of 11 is 11

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(462, 173) = 79926

GCD(462, 173) = ( 462 x 173 ) / 79926

GCD(462, 173) = 79926 / 79926

GCD(462, 173) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 11

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

LCM(1, 11) = 11

GCD(1, 11) = ( 1 x 11 ) / 11

GCD(1, 11) = 11 / 11

GCD(1, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 1

GCD of 462, 173, 11, 690 is 1

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1. What is the GCD of 462, 173, 11, 690?

GCD of 462, 173, 11, 690 is 1

2. Where do I get the detailed procedure to find GCD of 462, 173, 11, 690?

You can find a detailed procedure to find GCD of 462, 173, 11, 690 on our page.

3. How to find GCD of 462, 173, 11, 690 on a calculator?

You can find the GCD of 462, 173, 11, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.