GCD of 390, 820, 563, 461 Calculator

Given Input numbers are 390, 820, 563, 461

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

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

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 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Greatest Common Divisior

We found the divisors of 390, 820, 563, 461 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 820, 563, 461 is 1.

Therefore, GCD of numbers 390, 820, 563, 461 is 1

Given Input Data is 390, 820, 563, 461

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

Prime Factorization of 390 is 2 x 3 x 5 x 13

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

Prime Factorization of 563 is 563

Prime Factorization of 461 is 461

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(390, 820) = 31980

GCD(390, 820) = ( 390 x 820 ) / 31980

GCD(390, 820) = 319800 / 31980

GCD(390, 820) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 563

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

LCM(10, 563) = 5630

GCD(10, 563) = ( 10 x 563 ) / 5630

GCD(10, 563) = 5630 / 5630

GCD(10, 563) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 461

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

LCM(1, 461) = 461

GCD(1, 461) = ( 1 x 461 ) / 461

GCD(1, 461) = 461 / 461

GCD(1, 461) = 1

GCD of 390, 820, 563, 461 is 1

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• GCD of 531, 300, 123, 108
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1. What is the GCD of 390, 820, 563, 461?

GCD of 390, 820, 563, 461 is 1

2. Where do I get the detailed procedure to find GCD of 390, 820, 563, 461?

You can find a detailed procedure to find GCD of 390, 820, 563, 461 on our page.

3. How to find GCD of 390, 820, 563, 461 on a calculator?

You can find the GCD of 390, 820, 563, 461 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.