GCD of 506, 261, 86, 821 Calculator

Given Input numbers are 506, 261, 86, 821

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Greatest Common Divisior

We found the divisors of 506, 261, 86, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 261, 86, 821 is 1.

Therefore, GCD of numbers 506, 261, 86, 821 is 1

Given Input Data is 506, 261, 86, 821

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

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 86 is 2 x 43

Prime Factorization of 821 is 821

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(506, 261) = 132066

GCD(506, 261) = ( 506 x 261 ) / 132066

GCD(506, 261) = 132066 / 132066

GCD(506, 261) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 86

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

LCM(1, 86) = 86

GCD(1, 86) = ( 1 x 86 ) / 86

GCD(1, 86) = 86 / 86

GCD(1, 86) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 821

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

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

GCD(1, 821) = 821 / 821

GCD(1, 821) = 1

GCD of 506, 261, 86, 821 is 1

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1. What is the GCD of 506, 261, 86, 821?

GCD of 506, 261, 86, 821 is 1

2. Where do I get the detailed procedure to find GCD of 506, 261, 86, 821?

You can find a detailed procedure to find GCD of 506, 261, 86, 821 on our page.

3. How to find GCD of 506, 261, 86, 821 on a calculator?

You can find the GCD of 506, 261, 86, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.