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, 177, 494, 964 i.e. 1 largest integer that divides all the numbers equally.
GCD of 363, 177, 494, 964 is 1
GCD(363, 177, 494, 964) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 363, 177, 494, 964 is 1
GCD(363, 177, 494, 964) = 1
Given Input numbers are 363, 177, 494, 964
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 177
List of positive integer divisors of 177 that divides 177 without a remainder.
1, 3, 59, 177
Divisors of 494
List of positive integer divisors of 494 that divides 494 without a remainder.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 964
List of positive integer divisors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482, 964
Greatest Common Divisior
We found the divisors of 363, 177, 494, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 177, 494, 964 is 1.
Therefore, GCD of numbers 363, 177, 494, 964 is 1
Given Input Data is 363, 177, 494, 964
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 177 is 3 x 59
Prime Factorization of 494 is 2 x 13 x 19
Prime Factorization of 964 is 2 x 2 x 241
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, 177) = 21417
GCD(363, 177) = ( 363 x 177 ) / 21417
GCD(363, 177) = 64251 / 21417
GCD(363, 177) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 494
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 494) = 1482
GCD(3, 494) = ( 3 x 494 ) / 1482
GCD(3, 494) = 1482 / 1482
GCD(3, 494) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 964
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 964) = 964
GCD(1, 964) = ( 1 x 964 ) / 964
GCD(1, 964) = 964 / 964
GCD(1, 964) = 1
GCD of 363, 177, 494, 964 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 363, 177, 494, 964?
GCD of 363, 177, 494, 964 is 1
2. Where do I get the detailed procedure to find GCD of 363, 177, 494, 964?
You can find a detailed procedure to find GCD of 363, 177, 494, 964 on our page.
3. How to find GCD of 363, 177, 494, 964 on a calculator?
You can find the GCD of 363, 177, 494, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.