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 225, 155, 371, 301 i.e. 1 largest integer that divides all the numbers equally.
GCD of 225, 155, 371, 301 is 1
GCD(225, 155, 371, 301) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 225, 155, 371, 301 is 1
GCD(225, 155, 371, 301) = 1
Given Input numbers are 225, 155, 371, 301
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 225
List of positive integer divisors of 225 that divides 225 without a remainder.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 155
List of positive integer divisors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Divisors of 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Divisors of 301
List of positive integer divisors of 301 that divides 301 without a remainder.
1, 7, 43, 301
Greatest Common Divisior
We found the divisors of 225, 155, 371, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 155, 371, 301 is 1.
Therefore, GCD of numbers 225, 155, 371, 301 is 1
Given Input Data is 225, 155, 371, 301
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 225 is 3 x 3 x 5 x 5
Prime Factorization of 155 is 5 x 31
Prime Factorization of 371 is 7 x 53
Prime Factorization of 301 is 7 x 43
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(225, 155) = 6975
GCD(225, 155) = ( 225 x 155 ) / 6975
GCD(225, 155) = 34875 / 6975
GCD(225, 155) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 371
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 371) = 1855
GCD(5, 371) = ( 5 x 371 ) / 1855
GCD(5, 371) = 1855 / 1855
GCD(5, 371) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 301
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 301) = 301
GCD(1, 301) = ( 1 x 301 ) / 301
GCD(1, 301) = 301 / 301
GCD(1, 301) = 1
GCD of 225, 155, 371, 301 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 225, 155, 371, 301?
GCD of 225, 155, 371, 301 is 1
2. Where do I get the detailed procedure to find GCD of 225, 155, 371, 301?
You can find a detailed procedure to find GCD of 225, 155, 371, 301 on our page.
3. How to find GCD of 225, 155, 371, 301 on a calculator?
You can find the GCD of 225, 155, 371, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.