GCD of 785, 330, 909, 600 Calculator

Given Input numbers are 785, 330, 909, 600

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

Divisors of 785

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

1, 5, 157, 785

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Greatest Common Divisior

We found the divisors of 785, 330, 909, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 785, 330, 909, 600 is 1.

Therefore, GCD of numbers 785, 330, 909, 600 is 1

Given Input Data is 785, 330, 909, 600

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

Prime Factorization of 785 is 5 x 157

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

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(785, 330) = 51810

GCD(785, 330) = ( 785 x 330 ) / 51810

GCD(785, 330) = 259050 / 51810

GCD(785, 330) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 909

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

LCM(5, 909) = 4545

GCD(5, 909) = ( 5 x 909 ) / 4545

GCD(5, 909) = 4545 / 4545

GCD(5, 909) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 600

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

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

GCD(1, 600) = 600 / 600

GCD(1, 600) = 1

GCD of 785, 330, 909, 600 is 1

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1. What is the GCD of 785, 330, 909, 600?

GCD of 785, 330, 909, 600 is 1

2. Where do I get the detailed procedure to find GCD of 785, 330, 909, 600?

You can find a detailed procedure to find GCD of 785, 330, 909, 600 on our page.

3. How to find GCD of 785, 330, 909, 600 on a calculator?

You can find the GCD of 785, 330, 909, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.