GCD of 642, 633, 333, 880 Calculator

Given Input numbers are 642, 633, 333, 880

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

Divisors of 642

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

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

Divisors of 633

List of positive integer divisors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Divisors of 333

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

1, 3, 9, 37, 111, 333

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Greatest Common Divisior

We found the divisors of 642, 633, 333, 880 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 633, 333, 880 is 1.

Therefore, GCD of numbers 642, 633, 333, 880 is 1

Given Input Data is 642, 633, 333, 880

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

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 633 is 3 x 211

Prime Factorization of 333 is 3 x 3 x 37

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

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(642, 633) = 135462

GCD(642, 633) = ( 642 x 633 ) / 135462

GCD(642, 633) = 406386 / 135462

GCD(642, 633) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 333

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

LCM(3, 333) = 333

GCD(3, 333) = ( 3 x 333 ) / 333

GCD(3, 333) = 999 / 333

GCD(3, 333) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 880

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

LCM(3, 880) = 2640

GCD(3, 880) = ( 3 x 880 ) / 2640

GCD(3, 880) = 2640 / 2640

GCD(3, 880) = 1

GCD of 642, 633, 333, 880 is 1

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1. What is the GCD of 642, 633, 333, 880?

GCD of 642, 633, 333, 880 is 1

2. Where do I get the detailed procedure to find GCD of 642, 633, 333, 880?

You can find a detailed procedure to find GCD of 642, 633, 333, 880 on our page.

3. How to find GCD of 642, 633, 333, 880 on a calculator?

You can find the GCD of 642, 633, 333, 880 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.