GCD of 588, 780, 820, 442 Calculator

Given Input numbers are 588, 780, 820, 442

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

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 442

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

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

Greatest Common Divisior

We found the divisors of 588, 780, 820, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 780, 820, 442 is 2.

Therefore, GCD of numbers 588, 780, 820, 442 is 2

Given Input Data is 588, 780, 820, 442

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

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 442 is 2 x 13 x 17

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(588, 780) = 38220

GCD(588, 780) = ( 588 x 780 ) / 38220

GCD(588, 780) = 458640 / 38220

GCD(588, 780) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 820

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

LCM(12, 820) = 2460

GCD(12, 820) = ( 12 x 820 ) / 2460

GCD(12, 820) = 9840 / 2460

GCD(12, 820) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 442

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

LCM(4, 442) = 884

GCD(4, 442) = ( 4 x 442 ) / 884

GCD(4, 442) = 1768 / 884

GCD(4, 442) = 2

GCD of 588, 780, 820, 442 is 2

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• GCD of 228, 160, 611, 459
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1. What is the GCD of 588, 780, 820, 442?

GCD of 588, 780, 820, 442 is 2

2. Where do I get the detailed procedure to find GCD of 588, 780, 820, 442?

You can find a detailed procedure to find GCD of 588, 780, 820, 442 on our page.

3. How to find GCD of 588, 780, 820, 442 on a calculator?

You can find the GCD of 588, 780, 820, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.