GCD of 144, 544, 643 Calculator

Given Input numbers are 144, 544, 643

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 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Greatest Common Divisior

We found the divisors of 144, 544, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 544, 643 is 1.

Therefore, GCD of numbers 144, 544, 643 is 1

Given Input Data is 144, 544, 643

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 544 is 2 x 2 x 2 x 2 x 2 x 17

Prime Factorization of 643 is 643

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, 544) = 4896

GCD(144, 544) = ( 144 x 544 ) / 4896

GCD(144, 544) = 78336 / 4896

GCD(144, 544) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 643

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

LCM(16, 643) = 10288

GCD(16, 643) = ( 16 x 643 ) / 10288

GCD(16, 643) = 10288 / 10288

GCD(16, 643) = 1

GCD of 144, 544, 643 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 808, 187, 249
• GCD of 903, 241, 174
• GCD of 598, 923, 645
• GCD of 653, 794, 808
• GCD of 468, 447, 652

1. What is the GCD of 144, 544, 643?

GCD of 144, 544, 643 is 1

2. Where do I get the detailed procedure to find GCD of 144, 544, 643?

You can find a detailed procedure to find GCD of 144, 544, 643 on our page.

3. How to find GCD of 144, 544, 643 on a calculator?

You can find the GCD of 144, 544, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.