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 120, 362, 493, 361 i.e. 1 largest integer that divides all the numbers equally.
GCD of 120, 362, 493, 361 is 1
GCD(120, 362, 493, 361) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 120, 362, 493, 361 is 1
GCD(120, 362, 493, 361) = 1
Given Input numbers are 120, 362, 493, 361
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 120
List of positive integer divisors of 120 that divides 120 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 362
List of positive integer divisors of 362 that divides 362 without a remainder.
1, 2, 181, 362
Divisors of 493
List of positive integer divisors of 493 that divides 493 without a remainder.
1, 17, 29, 493
Divisors of 361
List of positive integer divisors of 361 that divides 361 without a remainder.
1, 19, 361
Greatest Common Divisior
We found the divisors of 120, 362, 493, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 362, 493, 361 is 1.
Therefore, GCD of numbers 120, 362, 493, 361 is 1
Given Input Data is 120, 362, 493, 361
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5
Prime Factorization of 362 is 2 x 181
Prime Factorization of 493 is 17 x 29
Prime Factorization of 361 is 19 x 19
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(120, 362) = 21720
GCD(120, 362) = ( 120 x 362 ) / 21720
GCD(120, 362) = 43440 / 21720
GCD(120, 362) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 493
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 493) = 986
GCD(2, 493) = ( 2 x 493 ) / 986
GCD(2, 493) = 986 / 986
GCD(2, 493) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 361
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 361) = 361
GCD(1, 361) = ( 1 x 361 ) / 361
GCD(1, 361) = 361 / 361
GCD(1, 361) = 1
GCD of 120, 362, 493, 361 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 120, 362, 493, 361?
GCD of 120, 362, 493, 361 is 1
2. Where do I get the detailed procedure to find GCD of 120, 362, 493, 361?
You can find a detailed procedure to find GCD of 120, 362, 493, 361 on our page.
3. How to find GCD of 120, 362, 493, 361 on a calculator?
You can find the GCD of 120, 362, 493, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.