GCD of 216, 565, 190, 144 Calculator

Given Input numbers are 216, 565, 190, 144

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

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

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 190

List of positive integer divisors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 216, 565, 190, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 565, 190, 144 is 1.

Therefore, GCD of numbers 216, 565, 190, 144 is 1

Given Input Data is 216, 565, 190, 144

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

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

Prime Factorization of 565 is 5 x 113

Prime Factorization of 190 is 2 x 5 x 19

Prime Factorization of 144 is 2 x 2 x 2 x 2 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(216, 565) = 122040

GCD(216, 565) = ( 216 x 565 ) / 122040

GCD(216, 565) = 122040 / 122040

GCD(216, 565) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 190

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

LCM(1, 190) = 190

GCD(1, 190) = ( 1 x 190 ) / 190

GCD(1, 190) = 190 / 190

GCD(1, 190) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

GCD of 216, 565, 190, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 237, 233, 661, 854
• GCD of 846, 705, 380, 391
• GCD of 475, 112, 802, 919
• GCD of 849, 243, 891, 789
• GCD of 577, 771, 939, 278

1. What is the GCD of 216, 565, 190, 144?

GCD of 216, 565, 190, 144 is 1

2. Where do I get the detailed procedure to find GCD of 216, 565, 190, 144?

You can find a detailed procedure to find GCD of 216, 565, 190, 144 on our page.

3. How to find GCD of 216, 565, 190, 144 on a calculator?

You can find the GCD of 216, 565, 190, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.