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 834, 218, 66, 327 i.e. 1 largest integer that divides all the numbers equally.
GCD of 834, 218, 66, 327 is 1
GCD(834, 218, 66, 327) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 834, 218, 66, 327 is 1
GCD(834, 218, 66, 327) = 1
Given Input numbers are 834, 218, 66, 327
To find the GCD of numbers using factoring list out all the divisors of each number
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 218
List of positive integer divisors of 218 that divides 218 without a remainder.
1, 2, 109, 218
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 327
List of positive integer divisors of 327 that divides 327 without a remainder.
1, 3, 109, 327
Greatest Common Divisior
We found the divisors of 834, 218, 66, 327 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 834, 218, 66, 327 is 1.
Therefore, GCD of numbers 834, 218, 66, 327 is 1
Given Input Data is 834, 218, 66, 327
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 834 is 2 x 3 x 139
Prime Factorization of 218 is 2 x 109
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 327 is 3 x 109
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(834, 218) = 90906
GCD(834, 218) = ( 834 x 218 ) / 90906
GCD(834, 218) = 181812 / 90906
GCD(834, 218) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 66) = 66
GCD(2, 66) = ( 2 x 66 ) / 66
GCD(2, 66) = 132 / 66
GCD(2, 66) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 327
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 327) = 654
GCD(2, 327) = ( 2 x 327 ) / 654
GCD(2, 327) = 654 / 654
GCD(2, 327) = 1
GCD of 834, 218, 66, 327 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 834, 218, 66, 327?
GCD of 834, 218, 66, 327 is 1
2. Where do I get the detailed procedure to find GCD of 834, 218, 66, 327?
You can find a detailed procedure to find GCD of 834, 218, 66, 327 on our page.
3. How to find GCD of 834, 218, 66, 327 on a calculator?
You can find the GCD of 834, 218, 66, 327 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.