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 361, 163, 150, 395 i.e. 1 largest integer that divides all the numbers equally.
GCD of 361, 163, 150, 395 is 1
GCD(361, 163, 150, 395) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 361, 163, 150, 395 is 1
GCD(361, 163, 150, 395) = 1
Given Input numbers are 361, 163, 150, 395
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 361
List of positive integer divisors of 361 that divides 361 without a remainder.
1, 19, 361
Divisors of 163
List of positive integer divisors of 163 that divides 163 without a remainder.
1, 163
Divisors of 150
List of positive integer divisors of 150 that divides 150 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 395
List of positive integer divisors of 395 that divides 395 without a remainder.
1, 5, 79, 395
Greatest Common Divisior
We found the divisors of 361, 163, 150, 395 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 163, 150, 395 is 1.
Therefore, GCD of numbers 361, 163, 150, 395 is 1
Given Input Data is 361, 163, 150, 395
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 361 is 19 x 19
Prime Factorization of 163 is 163
Prime Factorization of 150 is 2 x 3 x 5 x 5
Prime Factorization of 395 is 5 x 79
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(361, 163) = 58843
GCD(361, 163) = ( 361 x 163 ) / 58843
GCD(361, 163) = 58843 / 58843
GCD(361, 163) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 150
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 150) = 150
GCD(1, 150) = ( 1 x 150 ) / 150
GCD(1, 150) = 150 / 150
GCD(1, 150) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 395
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 395) = 395
GCD(1, 395) = ( 1 x 395 ) / 395
GCD(1, 395) = 395 / 395
GCD(1, 395) = 1
GCD of 361, 163, 150, 395 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 361, 163, 150, 395?
GCD of 361, 163, 150, 395 is 1
2. Where do I get the detailed procedure to find GCD of 361, 163, 150, 395?
You can find a detailed procedure to find GCD of 361, 163, 150, 395 on our page.
3. How to find GCD of 361, 163, 150, 395 on a calculator?
You can find the GCD of 361, 163, 150, 395 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.