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, 635, 30, 848 i.e. 1 largest integer that divides all the numbers equally.
GCD of 258, 635, 30, 848 is 1
GCD(258, 635, 30, 848) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 258, 635, 30, 848 is 1
GCD(258, 635, 30, 848) = 1
Given Input numbers are 258, 635, 30, 848
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 635
List of positive integer divisors of 635 that divides 635 without a remainder.
1, 5, 127, 635
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 848
List of positive integer divisors of 848 that divides 848 without a remainder.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
Greatest Common Divisior
We found the divisors of 258, 635, 30, 848 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 635, 30, 848 is 1.
Therefore, GCD of numbers 258, 635, 30, 848 is 1
Given Input Data is 258, 635, 30, 848
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 635 is 5 x 127
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53
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, 635) = 163830
GCD(258, 635) = ( 258 x 635 ) / 163830
GCD(258, 635) = 163830 / 163830
GCD(258, 635) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 30
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 30) = 30
GCD(1, 30) = ( 1 x 30 ) / 30
GCD(1, 30) = 30 / 30
GCD(1, 30) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 848
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 848) = 848
GCD(1, 848) = ( 1 x 848 ) / 848
GCD(1, 848) = 848 / 848
GCD(1, 848) = 1
GCD of 258, 635, 30, 848 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 258, 635, 30, 848?
GCD of 258, 635, 30, 848 is 1
2. Where do I get the detailed procedure to find GCD of 258, 635, 30, 848?
You can find a detailed procedure to find GCD of 258, 635, 30, 848 on our page.
3. How to find GCD of 258, 635, 30, 848 on a calculator?
You can find the GCD of 258, 635, 30, 848 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.