GCD of 362, 827, 299, 796 Calculator

Given Input numbers are 362, 827, 299, 796

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 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Greatest Common Divisior

We found the divisors of 362, 827, 299, 796 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 827, 299, 796 is 1.

Therefore, GCD of numbers 362, 827, 299, 796 is 1

Given Input Data is 362, 827, 299, 796

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

Prime Factorization of 362 is 2 x 181

Prime Factorization of 827 is 827

Prime Factorization of 299 is 13 x 23

Prime Factorization of 796 is 2 x 2 x 199

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, 827) = 299374

GCD(362, 827) = ( 362 x 827 ) / 299374

GCD(362, 827) = 299374 / 299374

GCD(362, 827) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 299

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

LCM(1, 299) = 299

GCD(1, 299) = ( 1 x 299 ) / 299

GCD(1, 299) = 299 / 299

GCD(1, 299) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 796

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

LCM(1, 796) = 796

GCD(1, 796) = ( 1 x 796 ) / 796

GCD(1, 796) = 796 / 796

GCD(1, 796) = 1

GCD of 362, 827, 299, 796 is 1

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1. What is the GCD of 362, 827, 299, 796?

GCD of 362, 827, 299, 796 is 1

2. Where do I get the detailed procedure to find GCD of 362, 827, 299, 796?

You can find a detailed procedure to find GCD of 362, 827, 299, 796 on our page.

3. How to find GCD of 362, 827, 299, 796 on a calculator?

You can find the GCD of 362, 827, 299, 796 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.