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 332, 834, 18, 465 i.e. 1 largest integer that divides all the numbers equally.
GCD of 332, 834, 18, 465 is 1
GCD(332, 834, 18, 465) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 332, 834, 18, 465 is 1
GCD(332, 834, 18, 465) = 1
Given Input numbers are 332, 834, 18, 465
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 332
List of positive integer divisors of 332 that divides 332 without a remainder.
1, 2, 4, 83, 166, 332
Divisors of 834
List of positive integer divisors of 834 that divides 834 without a remainder.
1, 2, 3, 6, 139, 278, 417, 834
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 465
List of positive integer divisors of 465 that divides 465 without a remainder.
1, 3, 5, 15, 31, 93, 155, 465
Greatest Common Divisior
We found the divisors of 332, 834, 18, 465 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 332, 834, 18, 465 is 1.
Therefore, GCD of numbers 332, 834, 18, 465 is 1
Given Input Data is 332, 834, 18, 465
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 332 is 2 x 2 x 83
Prime Factorization of 834 is 2 x 3 x 139
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 465 is 3 x 5 x 31
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(332, 834) = 138444
GCD(332, 834) = ( 332 x 834 ) / 138444
GCD(332, 834) = 276888 / 138444
GCD(332, 834) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 18
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 18) = 18
GCD(2, 18) = ( 2 x 18 ) / 18
GCD(2, 18) = 36 / 18
GCD(2, 18) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 465
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 465) = 930
GCD(2, 465) = ( 2 x 465 ) / 930
GCD(2, 465) = 930 / 930
GCD(2, 465) = 1
GCD of 332, 834, 18, 465 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 332, 834, 18, 465?
GCD of 332, 834, 18, 465 is 1
2. Where do I get the detailed procedure to find GCD of 332, 834, 18, 465?
You can find a detailed procedure to find GCD of 332, 834, 18, 465 on our page.
3. How to find GCD of 332, 834, 18, 465 on a calculator?
You can find the GCD of 332, 834, 18, 465 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.