GCD of 820, 906, 463 Calculator

Given Input numbers are 820, 906, 463

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 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Greatest Common Divisior

We found the divisors of 820, 906, 463 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 906, 463 is 1.

Therefore, GCD of numbers 820, 906, 463 is 1

Given Input Data is 820, 906, 463

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 906 is 2 x 3 x 151

Prime Factorization of 463 is 463

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, 906) = 371460

GCD(820, 906) = ( 820 x 906 ) / 371460

GCD(820, 906) = 742920 / 371460

GCD(820, 906) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 463

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

LCM(2, 463) = 926

GCD(2, 463) = ( 2 x 463 ) / 926

GCD(2, 463) = 926 / 926

GCD(2, 463) = 1

GCD of 820, 906, 463 is 1

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1. What is the GCD of 820, 906, 463?

GCD of 820, 906, 463 is 1

2. Where do I get the detailed procedure to find GCD of 820, 906, 463?

You can find a detailed procedure to find GCD of 820, 906, 463 on our page.

3. How to find GCD of 820, 906, 463 on a calculator?

You can find the GCD of 820, 906, 463 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.