GCD of 462, 623, 73, 164 Calculator

Given Input numbers are 462, 623, 73, 164

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 623

List of positive integer divisors of 623 that divides 623 without a remainder.

1, 7, 89, 623

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Greatest Common Divisior

We found the divisors of 462, 623, 73, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 623, 73, 164 is 1.

Therefore, GCD of numbers 462, 623, 73, 164 is 1

Given Input Data is 462, 623, 73, 164

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 623 is 7 x 89

Prime Factorization of 73 is 73

Prime Factorization of 164 is 2 x 2 x 41

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, 623) = 41118

GCD(462, 623) = ( 462 x 623 ) / 41118

GCD(462, 623) = 287826 / 41118

GCD(462, 623) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 73

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

LCM(7, 73) = 511

GCD(7, 73) = ( 7 x 73 ) / 511

GCD(7, 73) = 511 / 511

GCD(7, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 164

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

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

GCD(1, 164) = 164 / 164

GCD(1, 164) = 1

GCD of 462, 623, 73, 164 is 1

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1. What is the GCD of 462, 623, 73, 164?

GCD of 462, 623, 73, 164 is 1

2. Where do I get the detailed procedure to find GCD of 462, 623, 73, 164?

You can find a detailed procedure to find GCD of 462, 623, 73, 164 on our page.

3. How to find GCD of 462, 623, 73, 164 on a calculator?

You can find the GCD of 462, 623, 73, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.