GCD of 58, 842, 825, 322 Calculator

Given Input numbers are 58, 842, 825, 322

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

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Greatest Common Divisior

We found the divisors of 58, 842, 825, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 842, 825, 322 is 1.

Therefore, GCD of numbers 58, 842, 825, 322 is 1

Given Input Data is 58, 842, 825, 322

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 842 is 2 x 421

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 322 is 2 x 7 x 23

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(58, 842) = 24418

GCD(58, 842) = ( 58 x 842 ) / 24418

GCD(58, 842) = 48836 / 24418

GCD(58, 842) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 825

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

LCM(2, 825) = 1650

GCD(2, 825) = ( 2 x 825 ) / 1650

GCD(2, 825) = 1650 / 1650

GCD(2, 825) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 322

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

LCM(1, 322) = 322

GCD(1, 322) = ( 1 x 322 ) / 322

GCD(1, 322) = 322 / 322

GCD(1, 322) = 1

GCD of 58, 842, 825, 322 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 52, 872, 622, 150
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• GCD of 46, 291, 921, 903
• GCD of 65, 974, 840, 724
• GCD of 20, 235, 320, 942

1. What is the GCD of 58, 842, 825, 322?

GCD of 58, 842, 825, 322 is 1

2. Where do I get the detailed procedure to find GCD of 58, 842, 825, 322?

You can find a detailed procedure to find GCD of 58, 842, 825, 322 on our page.

3. How to find GCD of 58, 842, 825, 322 on a calculator?

You can find the GCD of 58, 842, 825, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.