GCD of 536, 187, 22, 144 Calculator

Given Input numbers are 536, 187, 22, 144

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

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

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 536, 187, 22, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 536, 187, 22, 144 is 1.

Therefore, GCD of numbers 536, 187, 22, 144 is 1

Given Input Data is 536, 187, 22, 144

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

Prime Factorization of 536 is 2 x 2 x 2 x 67

Prime Factorization of 187 is 11 x 17

Prime Factorization of 22 is 2 x 11

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(536, 187) = 100232

GCD(536, 187) = ( 536 x 187 ) / 100232

GCD(536, 187) = 100232 / 100232

GCD(536, 187) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 22

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

LCM(1, 22) = 22

GCD(1, 22) = ( 1 x 22 ) / 22

GCD(1, 22) = 22 / 22

GCD(1, 22) = 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 536, 187, 22, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 222, 243, 87, 490
• GCD of 361, 567, 81, 825
• GCD of 678, 497, 79, 863
• GCD of 977, 493, 40, 276
• GCD of 533, 488, 84, 203

1. What is the GCD of 536, 187, 22, 144?

GCD of 536, 187, 22, 144 is 1

2. Where do I get the detailed procedure to find GCD of 536, 187, 22, 144?

You can find a detailed procedure to find GCD of 536, 187, 22, 144 on our page.

3. How to find GCD of 536, 187, 22, 144 on a calculator?

You can find the GCD of 536, 187, 22, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.