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, 965, 71, 241 i.e. 1 largest integer that divides all the numbers equally.
GCD of 258, 965, 71, 241 is 1
GCD(258, 965, 71, 241) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 258, 965, 71, 241 is 1
GCD(258, 965, 71, 241) = 1
Given Input numbers are 258, 965, 71, 241
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 965
List of positive integer divisors of 965 that divides 965 without a remainder.
1, 5, 193, 965
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 241
List of positive integer divisors of 241 that divides 241 without a remainder.
1, 241
Greatest Common Divisior
We found the divisors of 258, 965, 71, 241 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 965, 71, 241 is 1.
Therefore, GCD of numbers 258, 965, 71, 241 is 1
Given Input Data is 258, 965, 71, 241
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 965 is 5 x 193
Prime Factorization of 71 is 71
Prime Factorization of 241 is 241
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, 965) = 248970
GCD(258, 965) = ( 258 x 965 ) / 248970
GCD(258, 965) = 248970 / 248970
GCD(258, 965) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 71
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 71) = 71
GCD(1, 71) = ( 1 x 71 ) / 71
GCD(1, 71) = 71 / 71
GCD(1, 71) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 241
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 241) = 241
GCD(1, 241) = ( 1 x 241 ) / 241
GCD(1, 241) = 241 / 241
GCD(1, 241) = 1
GCD of 258, 965, 71, 241 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 258, 965, 71, 241?
GCD of 258, 965, 71, 241 is 1
2. Where do I get the detailed procedure to find GCD of 258, 965, 71, 241?
You can find a detailed procedure to find GCD of 258, 965, 71, 241 on our page.
3. How to find GCD of 258, 965, 71, 241 on a calculator?
You can find the GCD of 258, 965, 71, 241 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.