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 325, 419, 58, 918 i.e. 1 largest integer that divides all the numbers equally.
GCD of 325, 419, 58, 918 is 1
GCD(325, 419, 58, 918) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 325, 419, 58, 918 is 1
GCD(325, 419, 58, 918) = 1
Given Input numbers are 325, 419, 58, 918
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 325
List of positive integer divisors of 325 that divides 325 without a remainder.
1, 5, 13, 25, 65, 325
Divisors of 419
List of positive integer divisors of 419 that divides 419 without a remainder.
1, 419
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Divisors of 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Greatest Common Divisior
We found the divisors of 325, 419, 58, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 325, 419, 58, 918 is 1.
Therefore, GCD of numbers 325, 419, 58, 918 is 1
Given Input Data is 325, 419, 58, 918
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 325 is 5 x 5 x 13
Prime Factorization of 419 is 419
Prime Factorization of 58 is 2 x 29
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
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(325, 419) = 136175
GCD(325, 419) = ( 325 x 419 ) / 136175
GCD(325, 419) = 136175 / 136175
GCD(325, 419) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 58
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 58) = 58
GCD(1, 58) = ( 1 x 58 ) / 58
GCD(1, 58) = 58 / 58
GCD(1, 58) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 918
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 918) = 918
GCD(1, 918) = ( 1 x 918 ) / 918
GCD(1, 918) = 918 / 918
GCD(1, 918) = 1
GCD of 325, 419, 58, 918 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 325, 419, 58, 918?
GCD of 325, 419, 58, 918 is 1
2. Where do I get the detailed procedure to find GCD of 325, 419, 58, 918?
You can find a detailed procedure to find GCD of 325, 419, 58, 918 on our page.
3. How to find GCD of 325, 419, 58, 918 on a calculator?
You can find the GCD of 325, 419, 58, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.