GCD of 624, 123, 16, 553 Calculator

Given Input numbers are 624, 123, 16, 553

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

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Greatest Common Divisior

We found the divisors of 624, 123, 16, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 624, 123, 16, 553 is 1.

Therefore, GCD of numbers 624, 123, 16, 553 is 1

Given Input Data is 624, 123, 16, 553

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

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 123 is 3 x 41

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 553 is 7 x 79

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(624, 123) = 25584

GCD(624, 123) = ( 624 x 123 ) / 25584

GCD(624, 123) = 76752 / 25584

GCD(624, 123) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 16

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

LCM(3, 16) = 48

GCD(3, 16) = ( 3 x 16 ) / 48

GCD(3, 16) = 48 / 48

GCD(3, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 553

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

LCM(1, 553) = 553

GCD(1, 553) = ( 1 x 553 ) / 553

GCD(1, 553) = 553 / 553

GCD(1, 553) = 1

GCD of 624, 123, 16, 553 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 702, 636, 28, 279
• GCD of 777, 588, 90, 463
• GCD of 684, 402, 46, 118
• GCD of 111, 926, 11, 316
• GCD of 125, 837, 60, 250

1. What is the GCD of 624, 123, 16, 553?

GCD of 624, 123, 16, 553 is 1

2. Where do I get the detailed procedure to find GCD of 624, 123, 16, 553?

You can find a detailed procedure to find GCD of 624, 123, 16, 553 on our page.

3. How to find GCD of 624, 123, 16, 553 on a calculator?

You can find the GCD of 624, 123, 16, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.