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, 148, 955, 296 i.e. 1 largest integer that divides all the numbers equally.
GCD of 363, 148, 955, 296 is 1
GCD(363, 148, 955, 296) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 363, 148, 955, 296 is 1
GCD(363, 148, 955, 296) = 1
Given Input numbers are 363, 148, 955, 296
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 148
List of positive integer divisors of 148 that divides 148 without a remainder.
1, 2, 4, 37, 74, 148
Divisors of 955
List of positive integer divisors of 955 that divides 955 without a remainder.
1, 5, 191, 955
Divisors of 296
List of positive integer divisors of 296 that divides 296 without a remainder.
1, 2, 4, 8, 37, 74, 148, 296
Greatest Common Divisior
We found the divisors of 363, 148, 955, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 148, 955, 296 is 1.
Therefore, GCD of numbers 363, 148, 955, 296 is 1
Given Input Data is 363, 148, 955, 296
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 148 is 2 x 2 x 37
Prime Factorization of 955 is 5 x 191
Prime Factorization of 296 is 2 x 2 x 2 x 37
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, 148) = 53724
GCD(363, 148) = ( 363 x 148 ) / 53724
GCD(363, 148) = 53724 / 53724
GCD(363, 148) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 955
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 955) = 955
GCD(1, 955) = ( 1 x 955 ) / 955
GCD(1, 955) = 955 / 955
GCD(1, 955) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 296
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 296) = 296
GCD(1, 296) = ( 1 x 296 ) / 296
GCD(1, 296) = 296 / 296
GCD(1, 296) = 1
GCD of 363, 148, 955, 296 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 363, 148, 955, 296?
GCD of 363, 148, 955, 296 is 1
2. Where do I get the detailed procedure to find GCD of 363, 148, 955, 296?
You can find a detailed procedure to find GCD of 363, 148, 955, 296 on our page.
3. How to find GCD of 363, 148, 955, 296 on a calculator?
You can find the GCD of 363, 148, 955, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.