GCD of 822, 457, 59, 814 Calculator

Given Input numbers are 822, 457, 59, 814

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

Divisors of 822

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

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

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 814

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

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

Greatest Common Divisior

We found the divisors of 822, 457, 59, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 457, 59, 814 is 1.

Therefore, GCD of numbers 822, 457, 59, 814 is 1

Given Input Data is 822, 457, 59, 814

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

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 457 is 457

Prime Factorization of 59 is 59

Prime Factorization of 814 is 2 x 11 x 37

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(822, 457) = 375654

GCD(822, 457) = ( 822 x 457 ) / 375654

GCD(822, 457) = 375654 / 375654

GCD(822, 457) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

GCD of 822, 457, 59, 814 is 1

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• GCD of 701, 265, 21, 446
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1. What is the GCD of 822, 457, 59, 814?

GCD of 822, 457, 59, 814 is 1

2. Where do I get the detailed procedure to find GCD of 822, 457, 59, 814?

You can find a detailed procedure to find GCD of 822, 457, 59, 814 on our page.

3. How to find GCD of 822, 457, 59, 814 on a calculator?

You can find the GCD of 822, 457, 59, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.