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 201, 363, 923, 358 i.e. 1 largest integer that divides all the numbers equally.
GCD of 201, 363, 923, 358 is 1
GCD(201, 363, 923, 358) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 201, 363, 923, 358 is 1
GCD(201, 363, 923, 358) = 1
Given Input numbers are 201, 363, 923, 358
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 201
List of positive integer divisors of 201 that divides 201 without a remainder.
1, 3, 67, 201
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Divisors of 923
List of positive integer divisors of 923 that divides 923 without a remainder.
1, 13, 71, 923
Divisors of 358
List of positive integer divisors of 358 that divides 358 without a remainder.
1, 2, 179, 358
Greatest Common Divisior
We found the divisors of 201, 363, 923, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 201, 363, 923, 358 is 1.
Therefore, GCD of numbers 201, 363, 923, 358 is 1
Given Input Data is 201, 363, 923, 358
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 201 is 3 x 67
Prime Factorization of 363 is 3 x 11 x 11
Prime Factorization of 923 is 13 x 71
Prime Factorization of 358 is 2 x 179
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(201, 363) = 24321
GCD(201, 363) = ( 201 x 363 ) / 24321
GCD(201, 363) = 72963 / 24321
GCD(201, 363) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 923
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 923) = 2769
GCD(3, 923) = ( 3 x 923 ) / 2769
GCD(3, 923) = 2769 / 2769
GCD(3, 923) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 358
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 358) = 358
GCD(1, 358) = ( 1 x 358 ) / 358
GCD(1, 358) = 358 / 358
GCD(1, 358) = 1
GCD of 201, 363, 923, 358 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 201, 363, 923, 358?
GCD of 201, 363, 923, 358 is 1
2. Where do I get the detailed procedure to find GCD of 201, 363, 923, 358?
You can find a detailed procedure to find GCD of 201, 363, 923, 358 on our page.
3. How to find GCD of 201, 363, 923, 358 on a calculator?
You can find the GCD of 201, 363, 923, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.