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 353, 322, 372, 305 i.e. 1 largest integer that divides all the numbers equally.
GCD of 353, 322, 372, 305 is 1
GCD(353, 322, 372, 305) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 353, 322, 372, 305 is 1
GCD(353, 322, 372, 305) = 1
Given Input numbers are 353, 322, 372, 305
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 353
List of positive integer divisors of 353 that divides 353 without a remainder.
1, 353
Divisors of 322
List of positive integer divisors of 322 that divides 322 without a remainder.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 372
List of positive integer divisors of 372 that divides 372 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Divisors of 305
List of positive integer divisors of 305 that divides 305 without a remainder.
1, 5, 61, 305
Greatest Common Divisior
We found the divisors of 353, 322, 372, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 353, 322, 372, 305 is 1.
Therefore, GCD of numbers 353, 322, 372, 305 is 1
Given Input Data is 353, 322, 372, 305
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 353 is 353
Prime Factorization of 322 is 2 x 7 x 23
Prime Factorization of 372 is 2 x 2 x 3 x 31
Prime Factorization of 305 is 5 x 61
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(353, 322) = 113666
GCD(353, 322) = ( 353 x 322 ) / 113666
GCD(353, 322) = 113666 / 113666
GCD(353, 322) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 372
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 372) = 372
GCD(1, 372) = ( 1 x 372 ) / 372
GCD(1, 372) = 372 / 372
GCD(1, 372) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 305
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 305) = 305
GCD(1, 305) = ( 1 x 305 ) / 305
GCD(1, 305) = 305 / 305
GCD(1, 305) = 1
GCD of 353, 322, 372, 305 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 353, 322, 372, 305?
GCD of 353, 322, 372, 305 is 1
2. Where do I get the detailed procedure to find GCD of 353, 322, 372, 305?
You can find a detailed procedure to find GCD of 353, 322, 372, 305 on our page.
3. How to find GCD of 353, 322, 372, 305 on a calculator?
You can find the GCD of 353, 322, 372, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.