GCD of 48, 629, 544, 559 Calculator

Given Input numbers are 48, 629, 544, 559

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

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

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 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Greatest Common Divisior

We found the divisors of 48, 629, 544, 559 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 629, 544, 559 is 1.

Therefore, GCD of numbers 48, 629, 544, 559 is 1

Given Input Data is 48, 629, 544, 559

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

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 629 is 17 x 37

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

Prime Factorization of 559 is 13 x 43

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(48, 629) = 30192

GCD(48, 629) = ( 48 x 629 ) / 30192

GCD(48, 629) = 30192 / 30192

GCD(48, 629) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 544

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

LCM(1, 544) = 544

GCD(1, 544) = ( 1 x 544 ) / 544

GCD(1, 544) = 544 / 544

GCD(1, 544) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 559

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

LCM(1, 559) = 559

GCD(1, 559) = ( 1 x 559 ) / 559

GCD(1, 559) = 559 / 559

GCD(1, 559) = 1

GCD of 48, 629, 544, 559 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 45, 396, 784, 802
• GCD of 28, 784, 854, 559
• GCD of 49, 962, 848, 591
• GCD of 64, 698, 408, 316
• GCD of 51, 744, 679, 618

1. What is the GCD of 48, 629, 544, 559?

GCD of 48, 629, 544, 559 is 1

2. Where do I get the detailed procedure to find GCD of 48, 629, 544, 559?

You can find a detailed procedure to find GCD of 48, 629, 544, 559 on our page.

3. How to find GCD of 48, 629, 544, 559 on a calculator?

You can find the GCD of 48, 629, 544, 559 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.