GCD of 708, 624, 50, 305 Calculator

Given Input numbers are 708, 624, 50, 305

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

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

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 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 305

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

1, 5, 61, 305

Greatest Common Divisior

We found the divisors of 708, 624, 50, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 624, 50, 305 is 1.

Therefore, GCD of numbers 708, 624, 50, 305 is 1

Given Input Data is 708, 624, 50, 305

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

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

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 305 is 5 x 61

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(708, 624) = 36816

GCD(708, 624) = ( 708 x 624 ) / 36816

GCD(708, 624) = 441792 / 36816

GCD(708, 624) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 50

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

LCM(12, 50) = 300

GCD(12, 50) = ( 12 x 50 ) / 300

GCD(12, 50) = 600 / 300

GCD(12, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 305

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

LCM(2, 305) = 610

GCD(2, 305) = ( 2 x 305 ) / 610

GCD(2, 305) = 610 / 610

GCD(2, 305) = 1

GCD of 708, 624, 50, 305 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 112, 991, 62, 182
• GCD of 629, 608, 61, 244
• GCD of 392, 711, 93, 211
• GCD of 360, 320, 81, 537
• GCD of 566, 676, 17, 513

1. What is the GCD of 708, 624, 50, 305?

GCD of 708, 624, 50, 305 is 1

2. Where do I get the detailed procedure to find GCD of 708, 624, 50, 305?

You can find a detailed procedure to find GCD of 708, 624, 50, 305 on our page.

3. How to find GCD of 708, 624, 50, 305 on a calculator?

You can find the GCD of 708, 624, 50, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.