GCD of 382, 529, 822, 693 Calculator

Given Input numbers are 382, 529, 822, 693

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

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

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

Greatest Common Divisior

We found the divisors of 382, 529, 822, 693 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 529, 822, 693 is 1.

Therefore, GCD of numbers 382, 529, 822, 693 is 1

Given Input Data is 382, 529, 822, 693

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

Prime Factorization of 382 is 2 x 191

Prime Factorization of 529 is 23 x 23

Prime Factorization of 822 is 2 x 3 x 137

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

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(382, 529) = 202078

GCD(382, 529) = ( 382 x 529 ) / 202078

GCD(382, 529) = 202078 / 202078

GCD(382, 529) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 822

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

LCM(1, 822) = 822

GCD(1, 822) = ( 1 x 822 ) / 822

GCD(1, 822) = 822 / 822

GCD(1, 822) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 693

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

LCM(1, 693) = 693

GCD(1, 693) = ( 1 x 693 ) / 693

GCD(1, 693) = 693 / 693

GCD(1, 693) = 1

GCD of 382, 529, 822, 693 is 1

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1. What is the GCD of 382, 529, 822, 693?

GCD of 382, 529, 822, 693 is 1

2. Where do I get the detailed procedure to find GCD of 382, 529, 822, 693?

You can find a detailed procedure to find GCD of 382, 529, 822, 693 on our page.

3. How to find GCD of 382, 529, 822, 693 on a calculator?

You can find the GCD of 382, 529, 822, 693 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.