GCD of 646, 814, 675, 822 Calculator

Given Input numbers are 646, 814, 675, 822

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

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Greatest Common Divisior

We found the divisors of 646, 814, 675, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 646, 814, 675, 822 is 1.

Therefore, GCD of numbers 646, 814, 675, 822 is 1

Given Input Data is 646, 814, 675, 822

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

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 822 is 2 x 3 x 137

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(646, 814) = 262922

GCD(646, 814) = ( 646 x 814 ) / 262922

GCD(646, 814) = 525844 / 262922

GCD(646, 814) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 675

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

LCM(2, 675) = 1350

GCD(2, 675) = ( 2 x 675 ) / 1350

GCD(2, 675) = 1350 / 1350

GCD(2, 675) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 822

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

LCM(1, 822) = 822

GCD(1, 822) = ( 1 x 822 ) / 822

GCD(1, 822) = 822 / 822

GCD(1, 822) = 1

GCD of 646, 814, 675, 822 is 1

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1. What is the GCD of 646, 814, 675, 822?

GCD of 646, 814, 675, 822 is 1

2. Where do I get the detailed procedure to find GCD of 646, 814, 675, 822?

You can find a detailed procedure to find GCD of 646, 814, 675, 822 on our page.

3. How to find GCD of 646, 814, 675, 822 on a calculator?

You can find the GCD of 646, 814, 675, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.