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, 156, 59, 950 i.e. 1 largest integer that divides all the numbers equally.
GCD of 258, 156, 59, 950 is 1
GCD(258, 156, 59, 950) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 258, 156, 59, 950 is 1
GCD(258, 156, 59, 950) = 1
Given Input numbers are 258, 156, 59, 950
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 156
List of positive integer divisors of 156 that divides 156 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 950
List of positive integer divisors of 950 that divides 950 without a remainder.
1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
Greatest Common Divisior
We found the divisors of 258, 156, 59, 950 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 156, 59, 950 is 1.
Therefore, GCD of numbers 258, 156, 59, 950 is 1
Given Input Data is 258, 156, 59, 950
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 156 is 2 x 2 x 3 x 13
Prime Factorization of 59 is 59
Prime Factorization of 950 is 2 x 5 x 5 x 19
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, 156) = 6708
GCD(258, 156) = ( 258 x 156 ) / 6708
GCD(258, 156) = 40248 / 6708
GCD(258, 156) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 59
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 59) = 354
GCD(6, 59) = ( 6 x 59 ) / 354
GCD(6, 59) = 354 / 354
GCD(6, 59) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 950
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 950) = 950
GCD(1, 950) = ( 1 x 950 ) / 950
GCD(1, 950) = 950 / 950
GCD(1, 950) = 1
GCD of 258, 156, 59, 950 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 258, 156, 59, 950?
GCD of 258, 156, 59, 950 is 1
2. Where do I get the detailed procedure to find GCD of 258, 156, 59, 950?
You can find a detailed procedure to find GCD of 258, 156, 59, 950 on our page.
3. How to find GCD of 258, 156, 59, 950 on a calculator?
You can find the GCD of 258, 156, 59, 950 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.