GCD of 624, 792, 50, 785 Calculator

Given Input numbers are 624, 792, 50, 785

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 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 50

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

1, 2, 5, 10, 25, 50

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Greatest Common Divisior

We found the divisors of 624, 792, 50, 785 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 624, 792, 50, 785 is 1.

Therefore, GCD of numbers 624, 792, 50, 785 is 1

Given Input Data is 624, 792, 50, 785

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 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 785 is 5 x 157

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, 792) = 20592

GCD(624, 792) = ( 624 x 792 ) / 20592

GCD(624, 792) = 494208 / 20592

GCD(624, 792) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 50

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

LCM(24, 50) = 600

GCD(24, 50) = ( 24 x 50 ) / 600

GCD(24, 50) = 1200 / 600

GCD(24, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 785

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

LCM(2, 785) = 1570

GCD(2, 785) = ( 2 x 785 ) / 1570

GCD(2, 785) = 1570 / 1570

GCD(2, 785) = 1

GCD of 624, 792, 50, 785 is 1

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1. What is the GCD of 624, 792, 50, 785?

GCD of 624, 792, 50, 785 is 1

2. Where do I get the detailed procedure to find GCD of 624, 792, 50, 785?

You can find a detailed procedure to find GCD of 624, 792, 50, 785 on our page.

3. How to find GCD of 624, 792, 50, 785 on a calculator?

You can find the GCD of 624, 792, 50, 785 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.