GCD of 855, 221, 507 Calculator

Given Input numbers are 855, 221, 507

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

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Greatest Common Divisior

We found the divisors of 855, 221, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 855, 221, 507 is 1.

Therefore, GCD of numbers 855, 221, 507 is 1

Given Input Data is 855, 221, 507

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

Prime Factorization of 855 is 3 x 3 x 5 x 19

Prime Factorization of 221 is 13 x 17

Prime Factorization of 507 is 3 x 13 x 13

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(855, 221) = 188955

GCD(855, 221) = ( 855 x 221 ) / 188955

GCD(855, 221) = 188955 / 188955

GCD(855, 221) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 507

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

LCM(1, 507) = 507

GCD(1, 507) = ( 1 x 507 ) / 507

GCD(1, 507) = 507 / 507

GCD(1, 507) = 1

GCD of 855, 221, 507 is 1

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1. What is the GCD of 855, 221, 507?

GCD of 855, 221, 507 is 1

2. Where do I get the detailed procedure to find GCD of 855, 221, 507?

You can find a detailed procedure to find GCD of 855, 221, 507 on our page.

3. How to find GCD of 855, 221, 507 on a calculator?

You can find the GCD of 855, 221, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.