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 258, 175, 201, 325 i.e. 1 largest integer that divides all the numbers equally.
GCD of 258, 175, 201, 325 is 1
GCD(258, 175, 201, 325) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 258, 175, 201, 325 is 1
GCD(258, 175, 201, 325) = 1
Given Input numbers are 258, 175, 201, 325
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 258
List of positive integer divisors of 258 that divides 258 without a remainder.
1, 2, 3, 6, 43, 86, 129, 258
Divisors of 175
List of positive integer divisors of 175 that divides 175 without a remainder.
1, 5, 7, 25, 35, 175
Divisors of 201
List of positive integer divisors of 201 that divides 201 without a remainder.
1, 3, 67, 201
Divisors of 325
List of positive integer divisors of 325 that divides 325 without a remainder.
1, 5, 13, 25, 65, 325
Greatest Common Divisior
We found the divisors of 258, 175, 201, 325 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 175, 201, 325 is 1.
Therefore, GCD of numbers 258, 175, 201, 325 is 1
Given Input Data is 258, 175, 201, 325
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 258 is 2 x 3 x 43
Prime Factorization of 175 is 5 x 5 x 7
Prime Factorization of 201 is 3 x 67
Prime Factorization of 325 is 5 x 5 x 13
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(258, 175) = 45150
GCD(258, 175) = ( 258 x 175 ) / 45150
GCD(258, 175) = 45150 / 45150
GCD(258, 175) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 201
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 201) = 201
GCD(1, 201) = ( 1 x 201 ) / 201
GCD(1, 201) = 201 / 201
GCD(1, 201) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 325
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 325) = 325
GCD(1, 325) = ( 1 x 325 ) / 325
GCD(1, 325) = 325 / 325
GCD(1, 325) = 1
GCD of 258, 175, 201, 325 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 258, 175, 201, 325?
GCD of 258, 175, 201, 325 is 1
2. Where do I get the detailed procedure to find GCD of 258, 175, 201, 325?
You can find a detailed procedure to find GCD of 258, 175, 201, 325 on our page.
3. How to find GCD of 258, 175, 201, 325 on a calculator?
You can find the GCD of 258, 175, 201, 325 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.