GCD of 369, 816, 682, 403 Calculator

Given Input numbers are 369, 816, 682, 403

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 403

List of positive integer divisors of 403 that divides 403 without a remainder.

1, 13, 31, 403

Greatest Common Divisior

We found the divisors of 369, 816, 682, 403 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 816, 682, 403 is 1.

Therefore, GCD of numbers 369, 816, 682, 403 is 1

Given Input Data is 369, 816, 682, 403

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 403 is 13 x 31

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(369, 816) = 100368

GCD(369, 816) = ( 369 x 816 ) / 100368

GCD(369, 816) = 301104 / 100368

GCD(369, 816) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 682

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

LCM(3, 682) = 2046

GCD(3, 682) = ( 3 x 682 ) / 2046

GCD(3, 682) = 2046 / 2046

GCD(3, 682) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 403

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

LCM(1, 403) = 403

GCD(1, 403) = ( 1 x 403 ) / 403

GCD(1, 403) = 403 / 403

GCD(1, 403) = 1

GCD of 369, 816, 682, 403 is 1

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• GCD of 722, 622, 461, 748
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• GCD of 862, 618, 751, 366

1. What is the GCD of 369, 816, 682, 403?

GCD of 369, 816, 682, 403 is 1

2. Where do I get the detailed procedure to find GCD of 369, 816, 682, 403?

You can find a detailed procedure to find GCD of 369, 816, 682, 403 on our page.

3. How to find GCD of 369, 816, 682, 403 on a calculator?

You can find the GCD of 369, 816, 682, 403 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.