GCD of 144, 126, 572, 180 Calculator

Given Input numbers are 144, 126, 572, 180

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 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Greatest Common Divisior

We found the divisors of 144, 126, 572, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 126, 572, 180 is 2.

Therefore, GCD of numbers 144, 126, 572, 180 is 2

Given Input Data is 144, 126, 572, 180

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 126 is 2 x 3 x 3 x 7

Prime Factorization of 572 is 2 x 2 x 11 x 13

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 126) = 1008

GCD(144, 126) = ( 144 x 126 ) / 1008

GCD(144, 126) = 18144 / 1008

GCD(144, 126) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 572

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

LCM(18, 572) = 5148

GCD(18, 572) = ( 18 x 572 ) / 5148

GCD(18, 572) = 10296 / 5148

GCD(18, 572) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 180

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

LCM(2, 180) = 180

GCD(2, 180) = ( 2 x 180 ) / 180

GCD(2, 180) = 360 / 180

GCD(2, 180) = 2

GCD of 144, 126, 572, 180 is 2

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1. What is the GCD of 144, 126, 572, 180?

GCD of 144, 126, 572, 180 is 2

2. Where do I get the detailed procedure to find GCD of 144, 126, 572, 180?

You can find a detailed procedure to find GCD of 144, 126, 572, 180 on our page.

3. How to find GCD of 144, 126, 572, 180 on a calculator?

You can find the GCD of 144, 126, 572, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.