GCD of 338, 693, 563, 628 Calculator

Given Input numbers are 338, 693, 563, 628

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

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

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 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Greatest Common Divisior

We found the divisors of 338, 693, 563, 628 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 693, 563, 628 is 1.

Therefore, GCD of numbers 338, 693, 563, 628 is 1

Given Input Data is 338, 693, 563, 628

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

Prime Factorization of 338 is 2 x 13 x 13

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

Prime Factorization of 563 is 563

Prime Factorization of 628 is 2 x 2 x 157

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(338, 693) = 234234

GCD(338, 693) = ( 338 x 693 ) / 234234

GCD(338, 693) = 234234 / 234234

GCD(338, 693) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 563

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

LCM(1, 563) = 563

GCD(1, 563) = ( 1 x 563 ) / 563

GCD(1, 563) = 563 / 563

GCD(1, 563) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 628

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

LCM(1, 628) = 628

GCD(1, 628) = ( 1 x 628 ) / 628

GCD(1, 628) = 628 / 628

GCD(1, 628) = 1

GCD of 338, 693, 563, 628 is 1

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1. What is the GCD of 338, 693, 563, 628?

GCD of 338, 693, 563, 628 is 1

2. Where do I get the detailed procedure to find GCD of 338, 693, 563, 628?

You can find a detailed procedure to find GCD of 338, 693, 563, 628 on our page.

3. How to find GCD of 338, 693, 563, 628 on a calculator?

You can find the GCD of 338, 693, 563, 628 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.