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 425, 468, 305, 912 i.e. 1 largest integer that divides all the numbers equally.
GCD of 425, 468, 305, 912 is 1
GCD(425, 468, 305, 912) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 425, 468, 305, 912 is 1
GCD(425, 468, 305, 912) = 1
Given Input numbers are 425, 468, 305, 912
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 425
List of positive integer divisors of 425 that divides 425 without a remainder.
1, 5, 17, 25, 85, 425
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 305
List of positive integer divisors of 305 that divides 305 without a remainder.
1, 5, 61, 305
Divisors of 912
List of positive integer divisors of 912 that divides 912 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Greatest Common Divisior
We found the divisors of 425, 468, 305, 912 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 425, 468, 305, 912 is 1.
Therefore, GCD of numbers 425, 468, 305, 912 is 1
Given Input Data is 425, 468, 305, 912
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 425 is 5 x 5 x 17
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
Prime Factorization of 305 is 5 x 61
Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 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(425, 468) = 198900
GCD(425, 468) = ( 425 x 468 ) / 198900
GCD(425, 468) = 198900 / 198900
GCD(425, 468) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 305
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 305) = 305
GCD(1, 305) = ( 1 x 305 ) / 305
GCD(1, 305) = 305 / 305
GCD(1, 305) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 912
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 912) = 912
GCD(1, 912) = ( 1 x 912 ) / 912
GCD(1, 912) = 912 / 912
GCD(1, 912) = 1
GCD of 425, 468, 305, 912 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 425, 468, 305, 912?
GCD of 425, 468, 305, 912 is 1
2. Where do I get the detailed procedure to find GCD of 425, 468, 305, 912?
You can find a detailed procedure to find GCD of 425, 468, 305, 912 on our page.
3. How to find GCD of 425, 468, 305, 912 on a calculator?
You can find the GCD of 425, 468, 305, 912 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.