GCD of 693, 738, 493, 208 Calculator

Given Input numbers are 693, 738, 493, 208

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 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 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Greatest Common Divisior

We found the divisors of 693, 738, 493, 208 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 693, 738, 493, 208 is 1.

Therefore, GCD of numbers 693, 738, 493, 208 is 1

Given Input Data is 693, 738, 493, 208

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 738 is 2 x 3 x 3 x 41

Prime Factorization of 493 is 17 x 29

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

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, 738) = 56826

GCD(693, 738) = ( 693 x 738 ) / 56826

GCD(693, 738) = 511434 / 56826

GCD(693, 738) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 493

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

LCM(9, 493) = 4437

GCD(9, 493) = ( 9 x 493 ) / 4437

GCD(9, 493) = 4437 / 4437

GCD(9, 493) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 208

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

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

GCD(1, 208) = 208 / 208

GCD(1, 208) = 1

GCD of 693, 738, 493, 208 is 1

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• GCD of 275, 244, 402, 655
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1. What is the GCD of 693, 738, 493, 208?

GCD of 693, 738, 493, 208 is 1

2. Where do I get the detailed procedure to find GCD of 693, 738, 493, 208?

You can find a detailed procedure to find GCD of 693, 738, 493, 208 on our page.

3. How to find GCD of 693, 738, 493, 208 on a calculator?

You can find the GCD of 693, 738, 493, 208 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.