Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 642, 633, 333, 880 i.e. 1 largest integer that divides all the numbers equally.
GCD of 642, 633, 333, 880 is 1
GCD(642, 633, 333, 880) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 642, 633, 333, 880 is 1
GCD(642, 633, 333, 880) = 1
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
Here are some samples of GCD of Numbers calculations.
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.