GCD of 537, 838, 59, 822 Calculator

Given Input numbers are 537, 838, 59, 822

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

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 59

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

1, 59

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 537, 838, 59, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 537, 838, 59, 822 is 1.

Therefore, GCD of numbers 537, 838, 59, 822 is 1

Given Input Data is 537, 838, 59, 822

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

Prime Factorization of 537 is 3 x 179

Prime Factorization of 838 is 2 x 419

Prime Factorization of 59 is 59

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(537, 838) = 450006

GCD(537, 838) = ( 537 x 838 ) / 450006

GCD(537, 838) = 450006 / 450006

GCD(537, 838) = 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 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 537, 838, 59, 822 is 1

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1. What is the GCD of 537, 838, 59, 822?

GCD of 537, 838, 59, 822 is 1

2. Where do I get the detailed procedure to find GCD of 537, 838, 59, 822?

You can find a detailed procedure to find GCD of 537, 838, 59, 822 on our page.

3. How to find GCD of 537, 838, 59, 822 on a calculator?

You can find the GCD of 537, 838, 59, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.