GCD of 393, 353, 973, 986 Calculator

Given Input numbers are 393, 353, 973, 986

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

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 973

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

1, 7, 139, 973

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Greatest Common Divisior

We found the divisors of 393, 353, 973, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 393, 353, 973, 986 is 1.

Therefore, GCD of numbers 393, 353, 973, 986 is 1

Given Input Data is 393, 353, 973, 986

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

Prime Factorization of 393 is 3 x 131

Prime Factorization of 353 is 353

Prime Factorization of 973 is 7 x 139

Prime Factorization of 986 is 2 x 17 x 29

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(393, 353) = 138729

GCD(393, 353) = ( 393 x 353 ) / 138729

GCD(393, 353) = 138729 / 138729

GCD(393, 353) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 973

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

LCM(1, 973) = 973

GCD(1, 973) = ( 1 x 973 ) / 973

GCD(1, 973) = 973 / 973

GCD(1, 973) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 986

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

LCM(1, 986) = 986

GCD(1, 986) = ( 1 x 986 ) / 986

GCD(1, 986) = 986 / 986

GCD(1, 986) = 1

GCD of 393, 353, 973, 986 is 1

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1. What is the GCD of 393, 353, 973, 986?

GCD of 393, 353, 973, 986 is 1

2. Where do I get the detailed procedure to find GCD of 393, 353, 973, 986?

You can find a detailed procedure to find GCD of 393, 353, 973, 986 on our page.

3. How to find GCD of 393, 353, 973, 986 on a calculator?

You can find the GCD of 393, 353, 973, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.