GCD of 180, 738, 81, 821 Calculator

Given Input numbers are 180, 738, 81, 821

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

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Greatest Common Divisior

We found the divisors of 180, 738, 81, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 738, 81, 821 is 1.

Therefore, GCD of numbers 180, 738, 81, 821 is 1

Given Input Data is 180, 738, 81, 821

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

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 821 is 821

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(180, 738) = 7380

GCD(180, 738) = ( 180 x 738 ) / 7380

GCD(180, 738) = 132840 / 7380

GCD(180, 738) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 81

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

LCM(18, 81) = 162

GCD(18, 81) = ( 18 x 81 ) / 162

GCD(18, 81) = 1458 / 162

GCD(18, 81) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 821

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

LCM(9, 821) = 7389

GCD(9, 821) = ( 9 x 821 ) / 7389

GCD(9, 821) = 7389 / 7389

GCD(9, 821) = 1

GCD of 180, 738, 81, 821 is 1

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• GCD of 940, 159, 57, 152
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1. What is the GCD of 180, 738, 81, 821?

GCD of 180, 738, 81, 821 is 1

2. Where do I get the detailed procedure to find GCD of 180, 738, 81, 821?

You can find a detailed procedure to find GCD of 180, 738, 81, 821 on our page.

3. How to find GCD of 180, 738, 81, 821 on a calculator?

You can find the GCD of 180, 738, 81, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.