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 259, 136, 32, 155 i.e. 1 largest integer that divides all the numbers equally.
GCD of 259, 136, 32, 155 is 1
GCD(259, 136, 32, 155) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 259, 136, 32, 155 is 1
GCD(259, 136, 32, 155) = 1
Given Input numbers are 259, 136, 32, 155
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 259
List of positive integer divisors of 259 that divides 259 without a remainder.
1, 7, 37, 259
Divisors of 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 155
List of positive integer divisors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Greatest Common Divisior
We found the divisors of 259, 136, 32, 155 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 259, 136, 32, 155 is 1.
Therefore, GCD of numbers 259, 136, 32, 155 is 1
Given Input Data is 259, 136, 32, 155
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 259 is 7 x 37
Prime Factorization of 136 is 2 x 2 x 2 x 17
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 155 is 5 x 31
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(259, 136) = 35224
GCD(259, 136) = ( 259 x 136 ) / 35224
GCD(259, 136) = 35224 / 35224
GCD(259, 136) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 32
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 32) = 32
GCD(1, 32) = ( 1 x 32 ) / 32
GCD(1, 32) = 32 / 32
GCD(1, 32) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 155
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 155) = 155
GCD(1, 155) = ( 1 x 155 ) / 155
GCD(1, 155) = 155 / 155
GCD(1, 155) = 1
GCD of 259, 136, 32, 155 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 259, 136, 32, 155?
GCD of 259, 136, 32, 155 is 1
2. Where do I get the detailed procedure to find GCD of 259, 136, 32, 155?
You can find a detailed procedure to find GCD of 259, 136, 32, 155 on our page.
3. How to find GCD of 259, 136, 32, 155 on a calculator?
You can find the GCD of 259, 136, 32, 155 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.