GCD of 474, 572, 78, 333 Calculator

Given Input numbers are 474, 572, 78, 333

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

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 333

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

1, 3, 9, 37, 111, 333

Greatest Common Divisior

We found the divisors of 474, 572, 78, 333 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 572, 78, 333 is 1.

Therefore, GCD of numbers 474, 572, 78, 333 is 1

Given Input Data is 474, 572, 78, 333

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

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 572 is 2 x 2 x 11 x 13

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 333 is 3 x 3 x 37

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(474, 572) = 135564

GCD(474, 572) = ( 474 x 572 ) / 135564

GCD(474, 572) = 271128 / 135564

GCD(474, 572) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 78

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

LCM(2, 78) = 78

GCD(2, 78) = ( 2 x 78 ) / 78

GCD(2, 78) = 156 / 78

GCD(2, 78) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 333

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

LCM(2, 333) = 666

GCD(2, 333) = ( 2 x 333 ) / 666

GCD(2, 333) = 666 / 666

GCD(2, 333) = 1

GCD of 474, 572, 78, 333 is 1

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1. What is the GCD of 474, 572, 78, 333?

GCD of 474, 572, 78, 333 is 1

2. Where do I get the detailed procedure to find GCD of 474, 572, 78, 333?

You can find a detailed procedure to find GCD of 474, 572, 78, 333 on our page.

3. How to find GCD of 474, 572, 78, 333 on a calculator?

You can find the GCD of 474, 572, 78, 333 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.