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 363, 201, 890, 577 i.e. 1 largest integer that divides all the numbers equally.
GCD of 363, 201, 890, 577 is 1
GCD(363, 201, 890, 577) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 363, 201, 890, 577 is 1
GCD(363, 201, 890, 577) = 1
Given Input numbers are 363, 201, 890, 577
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Divisors of 201
List of positive integer divisors of 201 that divides 201 without a remainder.
1, 3, 67, 201
Divisors of 890
List of positive integer divisors of 890 that divides 890 without a remainder.
1, 2, 5, 10, 89, 178, 445, 890
Divisors of 577
List of positive integer divisors of 577 that divides 577 without a remainder.
1, 577
Greatest Common Divisior
We found the divisors of 363, 201, 890, 577 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 201, 890, 577 is 1.
Therefore, GCD of numbers 363, 201, 890, 577 is 1
Given Input Data is 363, 201, 890, 577
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 363 is 3 x 11 x 11
Prime Factorization of 201 is 3 x 67
Prime Factorization of 890 is 2 x 5 x 89
Prime Factorization of 577 is 577
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(363, 201) = 24321
GCD(363, 201) = ( 363 x 201 ) / 24321
GCD(363, 201) = 72963 / 24321
GCD(363, 201) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 890
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 890) = 2670
GCD(3, 890) = ( 3 x 890 ) / 2670
GCD(3, 890) = 2670 / 2670
GCD(3, 890) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 577
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 577) = 577
GCD(1, 577) = ( 1 x 577 ) / 577
GCD(1, 577) = 577 / 577
GCD(1, 577) = 1
GCD of 363, 201, 890, 577 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 363, 201, 890, 577?
GCD of 363, 201, 890, 577 is 1
2. Where do I get the detailed procedure to find GCD of 363, 201, 890, 577?
You can find a detailed procedure to find GCD of 363, 201, 890, 577 on our page.
3. How to find GCD of 363, 201, 890, 577 on a calculator?
You can find the GCD of 363, 201, 890, 577 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.