GCD of 456, 110, 73, 609 Calculator

Given Input numbers are 456, 110, 73, 609

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

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

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 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Greatest Common Divisior

We found the divisors of 456, 110, 73, 609 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 110, 73, 609 is 1.

Therefore, GCD of numbers 456, 110, 73, 609 is 1

Given Input Data is 456, 110, 73, 609

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

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 73 is 73

Prime Factorization of 609 is 3 x 7 x 29

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(456, 110) = 25080

GCD(456, 110) = ( 456 x 110 ) / 25080

GCD(456, 110) = 50160 / 25080

GCD(456, 110) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 73

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

LCM(2, 73) = 146

GCD(2, 73) = ( 2 x 73 ) / 146

GCD(2, 73) = 146 / 146

GCD(2, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 609

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

LCM(1, 609) = 609

GCD(1, 609) = ( 1 x 609 ) / 609

GCD(1, 609) = 609 / 609

GCD(1, 609) = 1

GCD of 456, 110, 73, 609 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 990, 894, 32, 948
• GCD of 962, 677, 56, 591
• GCD of 899, 325, 75, 241
• GCD of 907, 532, 73, 481
• GCD of 374, 374, 68, 701

1. What is the GCD of 456, 110, 73, 609?

GCD of 456, 110, 73, 609 is 1

2. Where do I get the detailed procedure to find GCD of 456, 110, 73, 609?

You can find a detailed procedure to find GCD of 456, 110, 73, 609 on our page.

3. How to find GCD of 456, 110, 73, 609 on a calculator?

You can find the GCD of 456, 110, 73, 609 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.