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 301, 161, 82, 387 i.e. 1 largest integer that divides all the numbers equally.
GCD of 301, 161, 82, 387 is 1
GCD(301, 161, 82, 387) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 301, 161, 82, 387 is 1
GCD(301, 161, 82, 387) = 1
Given Input numbers are 301, 161, 82, 387
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 301
List of positive integer divisors of 301 that divides 301 without a remainder.
1, 7, 43, 301
Divisors of 161
List of positive integer divisors of 161 that divides 161 without a remainder.
1, 7, 23, 161
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 387
List of positive integer divisors of 387 that divides 387 without a remainder.
1, 3, 9, 43, 129, 387
Greatest Common Divisior
We found the divisors of 301, 161, 82, 387 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 301, 161, 82, 387 is 1.
Therefore, GCD of numbers 301, 161, 82, 387 is 1
Given Input Data is 301, 161, 82, 387
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 301 is 7 x 43
Prime Factorization of 161 is 7 x 23
Prime Factorization of 82 is 2 x 41
Prime Factorization of 387 is 3 x 3 x 43
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(301, 161) = 6923
GCD(301, 161) = ( 301 x 161 ) / 6923
GCD(301, 161) = 48461 / 6923
GCD(301, 161) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 82
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 82) = 574
GCD(7, 82) = ( 7 x 82 ) / 574
GCD(7, 82) = 574 / 574
GCD(7, 82) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 387
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 387) = 387
GCD(1, 387) = ( 1 x 387 ) / 387
GCD(1, 387) = 387 / 387
GCD(1, 387) = 1
GCD of 301, 161, 82, 387 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 301, 161, 82, 387?
GCD of 301, 161, 82, 387 is 1
2. Where do I get the detailed procedure to find GCD of 301, 161, 82, 387?
You can find a detailed procedure to find GCD of 301, 161, 82, 387 on our page.
3. How to find GCD of 301, 161, 82, 387 on a calculator?
You can find the GCD of 301, 161, 82, 387 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.