GCD of 144, 743, 22, 567 Calculator

Given Input numbers are 144, 743, 22, 567

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

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

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 22

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

1, 2, 11, 22

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Greatest Common Divisior

We found the divisors of 144, 743, 22, 567 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 743, 22, 567 is 1.

Therefore, GCD of numbers 144, 743, 22, 567 is 1

Given Input Data is 144, 743, 22, 567

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

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 743 is 743

Prime Factorization of 22 is 2 x 11

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

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(144, 743) = 106992

GCD(144, 743) = ( 144 x 743 ) / 106992

GCD(144, 743) = 106992 / 106992

GCD(144, 743) = 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 567

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

LCM(1, 567) = 567

GCD(1, 567) = ( 1 x 567 ) / 567

GCD(1, 567) = 567 / 567

GCD(1, 567) = 1

GCD of 144, 743, 22, 567 is 1

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1. What is the GCD of 144, 743, 22, 567?

GCD of 144, 743, 22, 567 is 1

2. Where do I get the detailed procedure to find GCD of 144, 743, 22, 567?

You can find a detailed procedure to find GCD of 144, 743, 22, 567 on our page.

3. How to find GCD of 144, 743, 22, 567 on a calculator?

You can find the GCD of 144, 743, 22, 567 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.