GCD of 500, 696, 624, 613 Calculator

Given Input numbers are 500, 696, 624, 613

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

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

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 613

List of positive integer divisors of 613 that divides 613 without a remainder.

1, 613

Greatest Common Divisior

We found the divisors of 500, 696, 624, 613 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 696, 624, 613 is 1.

Therefore, GCD of numbers 500, 696, 624, 613 is 1

Given Input Data is 500, 696, 624, 613

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

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

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

Prime Factorization of 613 is 613

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(500, 696) = 87000

GCD(500, 696) = ( 500 x 696 ) / 87000

GCD(500, 696) = 348000 / 87000

GCD(500, 696) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 624

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

LCM(4, 624) = 624

GCD(4, 624) = ( 4 x 624 ) / 624

GCD(4, 624) = 2496 / 624

GCD(4, 624) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 613

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

LCM(4, 613) = 2452

GCD(4, 613) = ( 4 x 613 ) / 2452

GCD(4, 613) = 2452 / 2452

GCD(4, 613) = 1

GCD of 500, 696, 624, 613 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 569, 108, 552, 402
• GCD of 619, 631, 942, 915
• GCD of 974, 803, 904, 822
• GCD of 413, 693, 626, 134
• GCD of 764, 384, 298, 208

1. What is the GCD of 500, 696, 624, 613?

GCD of 500, 696, 624, 613 is 1

2. Where do I get the detailed procedure to find GCD of 500, 696, 624, 613?

You can find a detailed procedure to find GCD of 500, 696, 624, 613 on our page.

3. How to find GCD of 500, 696, 624, 613 on a calculator?

You can find the GCD of 500, 696, 624, 613 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.