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 330, 108, 262, 623 i.e. 1 largest integer that divides all the numbers equally.
GCD of 330, 108, 262, 623 is 1
GCD(330, 108, 262, 623) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 330, 108, 262, 623 is 1
GCD(330, 108, 262, 623) = 1
Given Input numbers are 330, 108, 262, 623
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 330
List of positive integer divisors of 330 that divides 330 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
Divisors of 108
List of positive integer divisors of 108 that divides 108 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 262
List of positive integer divisors of 262 that divides 262 without a remainder.
1, 2, 131, 262
Divisors of 623
List of positive integer divisors of 623 that divides 623 without a remainder.
1, 7, 89, 623
Greatest Common Divisior
We found the divisors of 330, 108, 262, 623 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 330, 108, 262, 623 is 1.
Therefore, GCD of numbers 330, 108, 262, 623 is 1
Given Input Data is 330, 108, 262, 623
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 330 is 2 x 3 x 5 x 11
Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3
Prime Factorization of 262 is 2 x 131
Prime Factorization of 623 is 7 x 89
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(330, 108) = 5940
GCD(330, 108) = ( 330 x 108 ) / 5940
GCD(330, 108) = 35640 / 5940
GCD(330, 108) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 262
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 262) = 786
GCD(6, 262) = ( 6 x 262 ) / 786
GCD(6, 262) = 1572 / 786
GCD(6, 262) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 623
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 623) = 1246
GCD(2, 623) = ( 2 x 623 ) / 1246
GCD(2, 623) = 1246 / 1246
GCD(2, 623) = 1
GCD of 330, 108, 262, 623 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 330, 108, 262, 623?
GCD of 330, 108, 262, 623 is 1
2. Where do I get the detailed procedure to find GCD of 330, 108, 262, 623?
You can find a detailed procedure to find GCD of 330, 108, 262, 623 on our page.
3. How to find GCD of 330, 108, 262, 623 on a calculator?
You can find the GCD of 330, 108, 262, 623 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.