GCD of 333, 825, 66, 778 Calculator

Given Input numbers are 333, 825, 66, 778

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

Divisors of 333

List of positive integer divisors of 333 that divides 333 without a remainder.

1, 3, 9, 37, 111, 333

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Greatest Common Divisior

We found the divisors of 333, 825, 66, 778 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 333, 825, 66, 778 is 1.

Therefore, GCD of numbers 333, 825, 66, 778 is 1

Given Input Data is 333, 825, 66, 778

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

Prime Factorization of 333 is 3 x 3 x 37

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 778 is 2 x 389

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(333, 825) = 91575

GCD(333, 825) = ( 333 x 825 ) / 91575

GCD(333, 825) = 274725 / 91575

GCD(333, 825) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 66

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

LCM(3, 66) = 66

GCD(3, 66) = ( 3 x 66 ) / 66

GCD(3, 66) = 198 / 66

GCD(3, 66) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 778

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

LCM(3, 778) = 2334

GCD(3, 778) = ( 3 x 778 ) / 2334

GCD(3, 778) = 2334 / 2334

GCD(3, 778) = 1

GCD of 333, 825, 66, 778 is 1

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• GCD of 466, 330, 74, 830
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1. What is the GCD of 333, 825, 66, 778?

GCD of 333, 825, 66, 778 is 1

2. Where do I get the detailed procedure to find GCD of 333, 825, 66, 778?

You can find a detailed procedure to find GCD of 333, 825, 66, 778 on our page.

3. How to find GCD of 333, 825, 66, 778 on a calculator?

You can find the GCD of 333, 825, 66, 778 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.