GCD of 993, 361, 66, 820 Calculator

Given Input numbers are 993, 361, 66, 820

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

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Greatest Common Divisior

We found the divisors of 993, 361, 66, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 361, 66, 820 is 1.

Therefore, GCD of numbers 993, 361, 66, 820 is 1

Given Input Data is 993, 361, 66, 820

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

Prime Factorization of 993 is 3 x 331

Prime Factorization of 361 is 19 x 19

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 820 is 2 x 2 x 5 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(993, 361) = 358473

GCD(993, 361) = ( 993 x 361 ) / 358473

GCD(993, 361) = 358473 / 358473

GCD(993, 361) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 820

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

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

GCD(1, 820) = 820 / 820

GCD(1, 820) = 1

GCD of 993, 361, 66, 820 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 927, 378, 59, 878
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• GCD of 865, 693, 46, 101
• GCD of 784, 124, 52, 866
• GCD of 900, 598, 75, 907

1. What is the GCD of 993, 361, 66, 820?

GCD of 993, 361, 66, 820 is 1

2. Where do I get the detailed procedure to find GCD of 993, 361, 66, 820?

You can find a detailed procedure to find GCD of 993, 361, 66, 820 on our page.

3. How to find GCD of 993, 361, 66, 820 on a calculator?

You can find the GCD of 993, 361, 66, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.