GCD of 73, 171, 225, 240 Calculator

Given Input numbers are 73, 171, 225, 240

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 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

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

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Greatest Common Divisior

We found the divisors of 73, 171, 225, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 73, 171, 225, 240 is 1.

Therefore, GCD of numbers 73, 171, 225, 240 is 1

Given Input Data is 73, 171, 225, 240

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

Prime Factorization of 73 is 73

Prime Factorization of 171 is 3 x 3 x 19

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

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 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, 171) = 12483

GCD(73, 171) = ( 73 x 171 ) / 12483

GCD(73, 171) = 12483 / 12483

GCD(73, 171) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 240

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

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

GCD(1, 240) = 240 / 240

GCD(1, 240) = 1

GCD of 73, 171, 225, 240 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 99, 459, 818, 434
• GCD of 98, 936, 140, 410
• GCD of 57, 369, 371, 453
• GCD of 78, 571, 182, 642
• GCD of 87, 801, 833, 331

1. What is the GCD of 73, 171, 225, 240?

GCD of 73, 171, 225, 240 is 1

2. Where do I get the detailed procedure to find GCD of 73, 171, 225, 240?

You can find a detailed procedure to find GCD of 73, 171, 225, 240 on our page.

3. How to find GCD of 73, 171, 225, 240 on a calculator?

You can find the GCD of 73, 171, 225, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.