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 386, 407, 12, 465 i.e. 1 largest integer that divides all the numbers equally.
GCD of 386, 407, 12, 465 is 1
GCD(386, 407, 12, 465) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 386, 407, 12, 465 is 1
GCD(386, 407, 12, 465) = 1
Given Input numbers are 386, 407, 12, 465
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 386
List of positive integer divisors of 386 that divides 386 without a remainder.
1, 2, 193, 386
Divisors of 407
List of positive integer divisors of 407 that divides 407 without a remainder.
1, 11, 37, 407
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
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 386, 407, 12, 465 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 386, 407, 12, 465 is 1.
Therefore, GCD of numbers 386, 407, 12, 465 is 1
Given Input Data is 386, 407, 12, 465
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 386 is 2 x 193
Prime Factorization of 407 is 11 x 37
Prime Factorization of 12 is 2 x 2 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(386, 407) = 157102
GCD(386, 407) = ( 386 x 407 ) / 157102
GCD(386, 407) = 157102 / 157102
GCD(386, 407) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 12) = 12
GCD(1, 12) = ( 1 x 12 ) / 12
GCD(1, 12) = 12 / 12
GCD(1, 12) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 465
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 465) = 465
GCD(1, 465) = ( 1 x 465 ) / 465
GCD(1, 465) = 465 / 465
GCD(1, 465) = 1
GCD of 386, 407, 12, 465 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 386, 407, 12, 465?
GCD of 386, 407, 12, 465 is 1
2. Where do I get the detailed procedure to find GCD of 386, 407, 12, 465?
You can find a detailed procedure to find GCD of 386, 407, 12, 465 on our page.
3. How to find GCD of 386, 407, 12, 465 on a calculator?
You can find the GCD of 386, 407, 12, 465 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.