GCD of 820, 288, 780, 561 Calculator

Given Input numbers are 820, 288, 780, 561

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

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 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

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 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Greatest Common Divisior

We found the divisors of 820, 288, 780, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 288, 780, 561 is 1.

Therefore, GCD of numbers 820, 288, 780, 561 is 1

Given Input Data is 820, 288, 780, 561

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

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

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

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

Prime Factorization of 561 is 3 x 11 x 17

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(820, 288) = 59040

GCD(820, 288) = ( 820 x 288 ) / 59040

GCD(820, 288) = 236160 / 59040

GCD(820, 288) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 780

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

LCM(4, 780) = 780

GCD(4, 780) = ( 4 x 780 ) / 780

GCD(4, 780) = 3120 / 780

GCD(4, 780) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 561

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

LCM(4, 561) = 2244

GCD(4, 561) = ( 4 x 561 ) / 2244

GCD(4, 561) = 2244 / 2244

GCD(4, 561) = 1

GCD of 820, 288, 780, 561 is 1

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1. What is the GCD of 820, 288, 780, 561?

GCD of 820, 288, 780, 561 is 1

2. Where do I get the detailed procedure to find GCD of 820, 288, 780, 561?

You can find a detailed procedure to find GCD of 820, 288, 780, 561 on our page.

3. How to find GCD of 820, 288, 780, 561 on a calculator?

You can find the GCD of 820, 288, 780, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.