GCD of 693, 205, 591, 793 Calculator

Given Input numbers are 693, 205, 591, 793

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

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Divisors of 793

List of positive integer divisors of 793 that divides 793 without a remainder.

1, 13, 61, 793

Greatest Common Divisior

We found the divisors of 693, 205, 591, 793 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 693, 205, 591, 793 is 1.

Therefore, GCD of numbers 693, 205, 591, 793 is 1

Given Input Data is 693, 205, 591, 793

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

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 205 is 5 x 41

Prime Factorization of 591 is 3 x 197

Prime Factorization of 793 is 13 x 61

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(693, 205) = 142065

GCD(693, 205) = ( 693 x 205 ) / 142065

GCD(693, 205) = 142065 / 142065

GCD(693, 205) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 591

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

LCM(1, 591) = 591

GCD(1, 591) = ( 1 x 591 ) / 591

GCD(1, 591) = 591 / 591

GCD(1, 591) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 793

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

LCM(1, 793) = 793

GCD(1, 793) = ( 1 x 793 ) / 793

GCD(1, 793) = 793 / 793

GCD(1, 793) = 1

GCD of 693, 205, 591, 793 is 1

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1. What is the GCD of 693, 205, 591, 793?

GCD of 693, 205, 591, 793 is 1

2. Where do I get the detailed procedure to find GCD of 693, 205, 591, 793?

You can find a detailed procedure to find GCD of 693, 205, 591, 793 on our page.

3. How to find GCD of 693, 205, 591, 793 on a calculator?

You can find the GCD of 693, 205, 591, 793 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.