GCD of 72, 562, 229, 216 Calculator

Given Input numbers are 72, 562, 229, 216

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

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Greatest Common Divisior

We found the divisors of 72, 562, 229, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 562, 229, 216 is 1.

Therefore, GCD of numbers 72, 562, 229, 216 is 1

Given Input Data is 72, 562, 229, 216

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

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 562 is 2 x 281

Prime Factorization of 229 is 229

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

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(72, 562) = 20232

GCD(72, 562) = ( 72 x 562 ) / 20232

GCD(72, 562) = 40464 / 20232

GCD(72, 562) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 229

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

LCM(2, 229) = 458

GCD(2, 229) = ( 2 x 229 ) / 458

GCD(2, 229) = 458 / 458

GCD(2, 229) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 216

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

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

GCD(1, 216) = 216 / 216

GCD(1, 216) = 1

GCD of 72, 562, 229, 216 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 50, 932, 801, 652
• GCD of 12, 921, 253, 926
• GCD of 70, 578, 475, 586
• GCD of 23, 193, 777, 423
• GCD of 73, 649, 840, 450

1. What is the GCD of 72, 562, 229, 216?

GCD of 72, 562, 229, 216 is 1

2. Where do I get the detailed procedure to find GCD of 72, 562, 229, 216?

You can find a detailed procedure to find GCD of 72, 562, 229, 216 on our page.

3. How to find GCD of 72, 562, 229, 216 on a calculator?

You can find the GCD of 72, 562, 229, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.