GCD of 362, 828, 399, 706 Calculator

Given Input numbers are 362, 828, 399, 706

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

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Greatest Common Divisior

We found the divisors of 362, 828, 399, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 828, 399, 706 is 1.

Therefore, GCD of numbers 362, 828, 399, 706 is 1

Given Input Data is 362, 828, 399, 706

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

Prime Factorization of 362 is 2 x 181

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 706 is 2 x 353

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(362, 828) = 149868

GCD(362, 828) = ( 362 x 828 ) / 149868

GCD(362, 828) = 299736 / 149868

GCD(362, 828) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 399

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

LCM(2, 399) = 798

GCD(2, 399) = ( 2 x 399 ) / 798

GCD(2, 399) = 798 / 798

GCD(2, 399) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 706

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

LCM(1, 706) = 706

GCD(1, 706) = ( 1 x 706 ) / 706

GCD(1, 706) = 706 / 706

GCD(1, 706) = 1

GCD of 362, 828, 399, 706 is 1

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1. What is the GCD of 362, 828, 399, 706?

GCD of 362, 828, 399, 706 is 1

2. Where do I get the detailed procedure to find GCD of 362, 828, 399, 706?

You can find a detailed procedure to find GCD of 362, 828, 399, 706 on our page.

3. How to find GCD of 362, 828, 399, 706 on a calculator?

You can find the GCD of 362, 828, 399, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.