GCD of 973, 766, 20, 361 Calculator

Given Input numbers are 973, 766, 20, 361

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

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Divisors of 766

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

1, 2, 383, 766

Divisors of 20

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

1, 2, 4, 5, 10, 20

Divisors of 361

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

1, 19, 361

Greatest Common Divisior

We found the divisors of 973, 766, 20, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 973, 766, 20, 361 is 1.

Therefore, GCD of numbers 973, 766, 20, 361 is 1

Given Input Data is 973, 766, 20, 361

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

Prime Factorization of 973 is 7 x 139

Prime Factorization of 766 is 2 x 383

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 361 is 19 x 19

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(973, 766) = 745318

GCD(973, 766) = ( 973 x 766 ) / 745318

GCD(973, 766) = 745318 / 745318

GCD(973, 766) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 1

GCD of 973, 766, 20, 361 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 449, 592, 23, 400
• GCD of 196, 651, 66, 433
• GCD of 604, 648, 36, 809
• GCD of 734, 432, 47, 494
• GCD of 673, 738, 71, 819

1. What is the GCD of 973, 766, 20, 361?

GCD of 973, 766, 20, 361 is 1

2. Where do I get the detailed procedure to find GCD of 973, 766, 20, 361?

You can find a detailed procedure to find GCD of 973, 766, 20, 361 on our page.

3. How to find GCD of 973, 766, 20, 361 on a calculator?

You can find the GCD of 973, 766, 20, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.