GCD of 305, 756, 33, 689 Calculator

Given Input numbers are 305, 756, 33, 689

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

Divisors of 305

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

1, 5, 61, 305

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 305, 756, 33, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 305, 756, 33, 689 is 1.

Therefore, GCD of numbers 305, 756, 33, 689 is 1

Given Input Data is 305, 756, 33, 689

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

Prime Factorization of 305 is 5 x 61

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 33 is 3 x 11

Prime Factorization of 689 is 13 x 53

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(305, 756) = 230580

GCD(305, 756) = ( 305 x 756 ) / 230580

GCD(305, 756) = 230580 / 230580

GCD(305, 756) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 33

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

LCM(1, 33) = 33

GCD(1, 33) = ( 1 x 33 ) / 33

GCD(1, 33) = 33 / 33

GCD(1, 33) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

GCD of 305, 756, 33, 689 is 1

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1. What is the GCD of 305, 756, 33, 689?

GCD of 305, 756, 33, 689 is 1

2. Where do I get the detailed procedure to find GCD of 305, 756, 33, 689?

You can find a detailed procedure to find GCD of 305, 756, 33, 689 on our page.

3. How to find GCD of 305, 756, 33, 689 on a calculator?

You can find the GCD of 305, 756, 33, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.