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, 128, 65, 199 i.e. 1 largest integer that divides all the numbers equally.
GCD of 258, 128, 65, 199 is 1
GCD(258, 128, 65, 199) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 258, 128, 65, 199 is 1
GCD(258, 128, 65, 199) = 1
Given Input numbers are 258, 128, 65, 199
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 128
List of positive integer divisors of 128 that divides 128 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 199
List of positive integer divisors of 199 that divides 199 without a remainder.
1, 199
Greatest Common Divisior
We found the divisors of 258, 128, 65, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 128, 65, 199 is 1.
Therefore, GCD of numbers 258, 128, 65, 199 is 1
Given Input Data is 258, 128, 65, 199
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 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 65 is 5 x 13
Prime Factorization of 199 is 199
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, 128) = 16512
GCD(258, 128) = ( 258 x 128 ) / 16512
GCD(258, 128) = 33024 / 16512
GCD(258, 128) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 65
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 65) = 130
GCD(2, 65) = ( 2 x 65 ) / 130
GCD(2, 65) = 130 / 130
GCD(2, 65) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 199
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 199) = 199
GCD(1, 199) = ( 1 x 199 ) / 199
GCD(1, 199) = 199 / 199
GCD(1, 199) = 1
GCD of 258, 128, 65, 199 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 258, 128, 65, 199?
GCD of 258, 128, 65, 199 is 1
2. Where do I get the detailed procedure to find GCD of 258, 128, 65, 199?
You can find a detailed procedure to find GCD of 258, 128, 65, 199 on our page.
3. How to find GCD of 258, 128, 65, 199 on a calculator?
You can find the GCD of 258, 128, 65, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.