GCD of 786, 627, 827, 336 Calculator

Given Input numbers are 786, 627, 827, 336

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

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 827

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

1, 827

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Greatest Common Divisior

We found the divisors of 786, 627, 827, 336 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 786, 627, 827, 336 is 1.

Therefore, GCD of numbers 786, 627, 827, 336 is 1

Given Input Data is 786, 627, 827, 336

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

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 827 is 827

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

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(786, 627) = 164274

GCD(786, 627) = ( 786 x 627 ) / 164274

GCD(786, 627) = 492822 / 164274

GCD(786, 627) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 827

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

LCM(3, 827) = 2481

GCD(3, 827) = ( 3 x 827 ) / 2481

GCD(3, 827) = 2481 / 2481

GCD(3, 827) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 336

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

LCM(1, 336) = 336

GCD(1, 336) = ( 1 x 336 ) / 336

GCD(1, 336) = 336 / 336

GCD(1, 336) = 1

GCD of 786, 627, 827, 336 is 1

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1. What is the GCD of 786, 627, 827, 336?

GCD of 786, 627, 827, 336 is 1

2. Where do I get the detailed procedure to find GCD of 786, 627, 827, 336?

You can find a detailed procedure to find GCD of 786, 627, 827, 336 on our page.

3. How to find GCD of 786, 627, 827, 336 on a calculator?

You can find the GCD of 786, 627, 827, 336 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.