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 387, 145, 66 i.e. 1 largest integer that divides all the numbers equally.
GCD of 387, 145, 66 is 1
GCD(387, 145, 66) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 387, 145, 66 is 1
GCD(387, 145, 66) = 1
Given Input numbers are 387, 145, 66
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 387
List of positive integer divisors of 387 that divides 387 without a remainder.
1, 3, 9, 43, 129, 387
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Greatest Common Divisior
We found the divisors of 387, 145, 66 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 387, 145, 66 is 1.
Therefore, GCD of numbers 387, 145, 66 is 1
Given Input Data is 387, 145, 66
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 387 is 3 x 3 x 43
Prime Factorization of 145 is 5 x 29
Prime Factorization of 66 is 2 x 3 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(387, 145) = 56115
GCD(387, 145) = ( 387 x 145 ) / 56115
GCD(387, 145) = 56115 / 56115
GCD(387, 145) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 66) = 66
GCD(1, 66) = ( 1 x 66 ) / 66
GCD(1, 66) = 66 / 66
GCD(1, 66) = 1
GCD of 387, 145, 66 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 387, 145, 66?
GCD of 387, 145, 66 is 1
2. Where do I get the detailed procedure to find GCD of 387, 145, 66?
You can find a detailed procedure to find GCD of 387, 145, 66 on our page.
3. How to find GCD of 387, 145, 66 on a calculator?
You can find the GCD of 387, 145, 66 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.