GCD of 442, 542, 580, 792 Calculator

Given Input numbers are 442, 542, 580, 792

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

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Greatest Common Divisior

We found the divisors of 442, 542, 580, 792 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 442, 542, 580, 792 is 2.

Therefore, GCD of numbers 442, 542, 580, 792 is 2

Given Input Data is 442, 542, 580, 792

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

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 542 is 2 x 271

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(442, 542) = 119782

GCD(442, 542) = ( 442 x 542 ) / 119782

GCD(442, 542) = 239564 / 119782

GCD(442, 542) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 580

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

LCM(2, 580) = 580

GCD(2, 580) = ( 2 x 580 ) / 580

GCD(2, 580) = 1160 / 580

GCD(2, 580) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 792

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

LCM(2, 792) = 792

GCD(2, 792) = ( 2 x 792 ) / 792

GCD(2, 792) = 1584 / 792

GCD(2, 792) = 2

GCD of 442, 542, 580, 792 is 2

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1. What is the GCD of 442, 542, 580, 792?

GCD of 442, 542, 580, 792 is 2

2. Where do I get the detailed procedure to find GCD of 442, 542, 580, 792?

You can find a detailed procedure to find GCD of 442, 542, 580, 792 on our page.

3. How to find GCD of 442, 542, 580, 792 on a calculator?

You can find the GCD of 442, 542, 580, 792 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.