GCD of 21, 378, 956, 833 Calculator

Given Input numbers are 21, 378, 956, 833

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

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Divisors of 833

List of positive integer divisors of 833 that divides 833 without a remainder.

1, 7, 17, 49, 119, 833

Greatest Common Divisior

We found the divisors of 21, 378, 956, 833 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 378, 956, 833 is 1.

Therefore, GCD of numbers 21, 378, 956, 833 is 1

Given Input Data is 21, 378, 956, 833

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 956 is 2 x 2 x 239

Prime Factorization of 833 is 7 x 7 x 17

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(21, 378) = 378

GCD(21, 378) = ( 21 x 378 ) / 378

GCD(21, 378) = 7938 / 378

GCD(21, 378) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 956

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

LCM(21, 956) = 20076

GCD(21, 956) = ( 21 x 956 ) / 20076

GCD(21, 956) = 20076 / 20076

GCD(21, 956) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 833

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

LCM(1, 833) = 833

GCD(1, 833) = ( 1 x 833 ) / 833

GCD(1, 833) = 833 / 833

GCD(1, 833) = 1

GCD of 21, 378, 956, 833 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 37, 163, 656, 637
• GCD of 21, 149, 218, 819
• GCD of 86, 916, 108, 911
• GCD of 21, 481, 594, 945
• GCD of 28, 547, 564, 360

1. What is the GCD of 21, 378, 956, 833?

GCD of 21, 378, 956, 833 is 1

2. Where do I get the detailed procedure to find GCD of 21, 378, 956, 833?

You can find a detailed procedure to find GCD of 21, 378, 956, 833 on our page.

3. How to find GCD of 21, 378, 956, 833 on a calculator?

You can find the GCD of 21, 378, 956, 833 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.