GCD of 162, 723, 20, 766 Calculator

Given Input numbers are 162, 723, 20, 766

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

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 20

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

1, 2, 4, 5, 10, 20

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Greatest Common Divisior

We found the divisors of 162, 723, 20, 766 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 162, 723, 20, 766 is 1.

Therefore, GCD of numbers 162, 723, 20, 766 is 1

Given Input Data is 162, 723, 20, 766

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

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 723 is 3 x 241

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 766 is 2 x 383

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(162, 723) = 39042

GCD(162, 723) = ( 162 x 723 ) / 39042

GCD(162, 723) = 117126 / 39042

GCD(162, 723) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 20

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

LCM(3, 20) = 60

GCD(3, 20) = ( 3 x 20 ) / 60

GCD(3, 20) = 60 / 60

GCD(3, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 766

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

LCM(1, 766) = 766

GCD(1, 766) = ( 1 x 766 ) / 766

GCD(1, 766) = 766 / 766

GCD(1, 766) = 1

GCD of 162, 723, 20, 766 is 1

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• GCD of 547, 171, 15, 467
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1. What is the GCD of 162, 723, 20, 766?

GCD of 162, 723, 20, 766 is 1

2. Where do I get the detailed procedure to find GCD of 162, 723, 20, 766?

You can find a detailed procedure to find GCD of 162, 723, 20, 766 on our page.

3. How to find GCD of 162, 723, 20, 766 on a calculator?

You can find the GCD of 162, 723, 20, 766 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.