GCD of 787, 208, 21, 856 Calculator

Given Input numbers are 787, 208, 21, 856

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

Divisors of 787

List of positive integer divisors of 787 that divides 787 without a remainder.

1, 787

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 21

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

1, 3, 7, 21

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Greatest Common Divisior

We found the divisors of 787, 208, 21, 856 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 787, 208, 21, 856 is 1.

Therefore, GCD of numbers 787, 208, 21, 856 is 1

Given Input Data is 787, 208, 21, 856

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

Prime Factorization of 787 is 787

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 21 is 3 x 7

Prime Factorization of 856 is 2 x 2 x 2 x 107

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(787, 208) = 163696

GCD(787, 208) = ( 787 x 208 ) / 163696

GCD(787, 208) = 163696 / 163696

GCD(787, 208) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 856

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

LCM(1, 856) = 856

GCD(1, 856) = ( 1 x 856 ) / 856

GCD(1, 856) = 856 / 856

GCD(1, 856) = 1

GCD of 787, 208, 21, 856 is 1

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1. What is the GCD of 787, 208, 21, 856?

GCD of 787, 208, 21, 856 is 1

2. Where do I get the detailed procedure to find GCD of 787, 208, 21, 856?

You can find a detailed procedure to find GCD of 787, 208, 21, 856 on our page.

3. How to find GCD of 787, 208, 21, 856 on a calculator?

You can find the GCD of 787, 208, 21, 856 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.