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 125, 259, 905, 201 i.e. 1 largest integer that divides all the numbers equally.
GCD of 125, 259, 905, 201 is 1
GCD(125, 259, 905, 201) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 125, 259, 905, 201 is 1
GCD(125, 259, 905, 201) = 1
Given Input numbers are 125, 259, 905, 201
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 125
List of positive integer divisors of 125 that divides 125 without a remainder.
1, 5, 25, 125
Divisors of 259
List of positive integer divisors of 259 that divides 259 without a remainder.
1, 7, 37, 259
Divisors of 905
List of positive integer divisors of 905 that divides 905 without a remainder.
1, 5, 181, 905
Divisors of 201
List of positive integer divisors of 201 that divides 201 without a remainder.
1, 3, 67, 201
Greatest Common Divisior
We found the divisors of 125, 259, 905, 201 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 125, 259, 905, 201 is 1.
Therefore, GCD of numbers 125, 259, 905, 201 is 1
Given Input Data is 125, 259, 905, 201
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 125 is 5 x 5 x 5
Prime Factorization of 259 is 7 x 37
Prime Factorization of 905 is 5 x 181
Prime Factorization of 201 is 3 x 67
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(125, 259) = 32375
GCD(125, 259) = ( 125 x 259 ) / 32375
GCD(125, 259) = 32375 / 32375
GCD(125, 259) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 905
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 905) = 905
GCD(1, 905) = ( 1 x 905 ) / 905
GCD(1, 905) = 905 / 905
GCD(1, 905) = 1
Step3:
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
GCD of 125, 259, 905, 201 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 125, 259, 905, 201?
GCD of 125, 259, 905, 201 is 1
2. Where do I get the detailed procedure to find GCD of 125, 259, 905, 201?
You can find a detailed procedure to find GCD of 125, 259, 905, 201 on our page.
3. How to find GCD of 125, 259, 905, 201 on a calculator?
You can find the GCD of 125, 259, 905, 201 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.