GCD of 73, 492, 351, 225 Calculator

Given Input numbers are 73, 492, 351, 225

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

Divisors of 73

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

1, 73

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Greatest Common Divisior

We found the divisors of 73, 492, 351, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 73, 492, 351, 225 is 1.

Therefore, GCD of numbers 73, 492, 351, 225 is 1

Given Input Data is 73, 492, 351, 225

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

Prime Factorization of 73 is 73

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 225 is 3 x 3 x 5 x 5

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(73, 492) = 35916

GCD(73, 492) = ( 73 x 492 ) / 35916

GCD(73, 492) = 35916 / 35916

GCD(73, 492) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 351

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

LCM(1, 351) = 351

GCD(1, 351) = ( 1 x 351 ) / 351

GCD(1, 351) = 351 / 351

GCD(1, 351) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 225

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

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

GCD(1, 225) = 225 / 225

GCD(1, 225) = 1

GCD of 73, 492, 351, 225 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 90, 739, 424, 858
• GCD of 76, 118, 259, 525
• GCD of 65, 153, 346, 337
• GCD of 32, 508, 503, 169
• GCD of 42, 806, 772, 868

1. What is the GCD of 73, 492, 351, 225?

GCD of 73, 492, 351, 225 is 1

2. Where do I get the detailed procedure to find GCD of 73, 492, 351, 225?

You can find a detailed procedure to find GCD of 73, 492, 351, 225 on our page.

3. How to find GCD of 73, 492, 351, 225 on a calculator?

You can find the GCD of 73, 492, 351, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.