GCD of 110, 852, 459 Calculator

Given Input numbers are 110, 852, 459

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

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Greatest Common Divisior

We found the divisors of 110, 852, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 110, 852, 459 is 1.

Therefore, GCD of numbers 110, 852, 459 is 1

Given Input Data is 110, 852, 459

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

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 459 is 3 x 3 x 3 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(110, 852) = 46860

GCD(110, 852) = ( 110 x 852 ) / 46860

GCD(110, 852) = 93720 / 46860

GCD(110, 852) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 459

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

LCM(2, 459) = 918

GCD(2, 459) = ( 2 x 459 ) / 918

GCD(2, 459) = 918 / 918

GCD(2, 459) = 1

GCD of 110, 852, 459 is 1

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1. What is the GCD of 110, 852, 459?

GCD of 110, 852, 459 is 1

2. Where do I get the detailed procedure to find GCD of 110, 852, 459?

You can find a detailed procedure to find GCD of 110, 852, 459 on our page.

3. How to find GCD of 110, 852, 459 on a calculator?

You can find the GCD of 110, 852, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.