GCD of 305, 638, 572, 144 Calculator

Given Input numbers are 305, 638, 572, 144

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

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

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 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 305, 638, 572, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 305, 638, 572, 144 is 1.

Therefore, GCD of numbers 305, 638, 572, 144 is 1

Given Input Data is 305, 638, 572, 144

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

Prime Factorization of 305 is 5 x 61

Prime Factorization of 638 is 2 x 11 x 29

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

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(305, 638) = 194590

GCD(305, 638) = ( 305 x 638 ) / 194590

GCD(305, 638) = 194590 / 194590

GCD(305, 638) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 572

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

LCM(1, 572) = 572

GCD(1, 572) = ( 1 x 572 ) / 572

GCD(1, 572) = 572 / 572

GCD(1, 572) = 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 305, 638, 572, 144 is 1

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1. What is the GCD of 305, 638, 572, 144?

GCD of 305, 638, 572, 144 is 1

2. Where do I get the detailed procedure to find GCD of 305, 638, 572, 144?

You can find a detailed procedure to find GCD of 305, 638, 572, 144 on our page.

3. How to find GCD of 305, 638, 572, 144 on a calculator?

You can find the GCD of 305, 638, 572, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.