GCD of 333, 369, 642 Calculator

Given Input numbers are 333, 369, 642

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 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Greatest Common Divisior

We found the divisors of 333, 369, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 333, 369, 642 is 3.

Therefore, GCD of numbers 333, 369, 642 is 3

Given Input Data is 333, 369, 642

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 369 is 3 x 3 x 41

Prime Factorization of 642 is 2 x 3 x 107

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 369) = 13653

GCD(333, 369) = ( 333 x 369 ) / 13653

GCD(333, 369) = 122877 / 13653

GCD(333, 369) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 642

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

LCM(9, 642) = 1926

GCD(9, 642) = ( 9 x 642 ) / 1926

GCD(9, 642) = 5778 / 1926

GCD(9, 642) = 3

GCD of 333, 369, 642 is 3

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• GCD of 740, 528, 544
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1. What is the GCD of 333, 369, 642?

GCD of 333, 369, 642 is 3

2. Where do I get the detailed procedure to find GCD of 333, 369, 642?

You can find a detailed procedure to find GCD of 333, 369, 642 on our page.

3. How to find GCD of 333, 369, 642 on a calculator?

You can find the GCD of 333, 369, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.