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 12, 162, 237, 865 i.e. 1 largest integer that divides all the numbers equally.
GCD of 12, 162, 237, 865 is 1
GCD(12, 162, 237, 865) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 12, 162, 237, 865 is 1
GCD(12, 162, 237, 865) = 1
Given Input numbers are 12, 162, 237, 865
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 162
List of positive integer divisors of 162 that divides 162 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 237
List of positive integer divisors of 237 that divides 237 without a remainder.
1, 3, 79, 237
Divisors of 865
List of positive integer divisors of 865 that divides 865 without a remainder.
1, 5, 173, 865
Greatest Common Divisior
We found the divisors of 12, 162, 237, 865 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 162, 237, 865 is 1.
Therefore, GCD of numbers 12, 162, 237, 865 is 1
Given Input Data is 12, 162, 237, 865
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3
Prime Factorization of 237 is 3 x 79
Prime Factorization of 865 is 5 x 173
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(12, 162) = 324
GCD(12, 162) = ( 12 x 162 ) / 324
GCD(12, 162) = 1944 / 324
GCD(12, 162) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 237
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 237) = 474
GCD(6, 237) = ( 6 x 237 ) / 474
GCD(6, 237) = 1422 / 474
GCD(6, 237) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 865
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 865) = 2595
GCD(3, 865) = ( 3 x 865 ) / 2595
GCD(3, 865) = 2595 / 2595
GCD(3, 865) = 1
GCD of 12, 162, 237, 865 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 12, 162, 237, 865?
GCD of 12, 162, 237, 865 is 1
2. Where do I get the detailed procedure to find GCD of 12, 162, 237, 865?
You can find a detailed procedure to find GCD of 12, 162, 237, 865 on our page.
3. How to find GCD of 12, 162, 237, 865 on a calculator?
You can find the GCD of 12, 162, 237, 865 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.