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, 252, 18, 271 i.e. 1 largest integer that divides all the numbers equally.
GCD of 361, 252, 18, 271 is 1
GCD(361, 252, 18, 271) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 361, 252, 18, 271 is 1
GCD(361, 252, 18, 271) = 1
Given Input numbers are 361, 252, 18, 271
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 252
List of positive integer divisors of 252 that divides 252 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 271
List of positive integer divisors of 271 that divides 271 without a remainder.
1, 271
Greatest Common Divisior
We found the divisors of 361, 252, 18, 271 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 252, 18, 271 is 1.
Therefore, GCD of numbers 361, 252, 18, 271 is 1
Given Input Data is 361, 252, 18, 271
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 361 is 19 x 19
Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 271 is 271
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, 252) = 90972
GCD(361, 252) = ( 361 x 252 ) / 90972
GCD(361, 252) = 90972 / 90972
GCD(361, 252) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 18
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 18) = 18
GCD(1, 18) = ( 1 x 18 ) / 18
GCD(1, 18) = 18 / 18
GCD(1, 18) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 271
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 271) = 271
GCD(1, 271) = ( 1 x 271 ) / 271
GCD(1, 271) = 271 / 271
GCD(1, 271) = 1
GCD of 361, 252, 18, 271 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 361, 252, 18, 271?
GCD of 361, 252, 18, 271 is 1
2. Where do I get the detailed procedure to find GCD of 361, 252, 18, 271?
You can find a detailed procedure to find GCD of 361, 252, 18, 271 on our page.
3. How to find GCD of 361, 252, 18, 271 on a calculator?
You can find the GCD of 361, 252, 18, 271 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.