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 890, 912, 25, 305 i.e. 1 largest integer that divides all the numbers equally.
GCD of 890, 912, 25, 305 is 1
GCD(890, 912, 25, 305) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 890, 912, 25, 305 is 1
GCD(890, 912, 25, 305) = 1
Given Input numbers are 890, 912, 25, 305
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 890
List of positive integer divisors of 890 that divides 890 without a remainder.
1, 2, 5, 10, 89, 178, 445, 890
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
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 305
List of positive integer divisors of 305 that divides 305 without a remainder.
1, 5, 61, 305
Greatest Common Divisior
We found the divisors of 890, 912, 25, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 890, 912, 25, 305 is 1.
Therefore, GCD of numbers 890, 912, 25, 305 is 1
Given Input Data is 890, 912, 25, 305
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 890 is 2 x 5 x 89
Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19
Prime Factorization of 25 is 5 x 5
Prime Factorization of 305 is 5 x 61
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(890, 912) = 405840
GCD(890, 912) = ( 890 x 912 ) / 405840
GCD(890, 912) = 811680 / 405840
GCD(890, 912) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 25) = 50
GCD(2, 25) = ( 2 x 25 ) / 50
GCD(2, 25) = 50 / 50
GCD(2, 25) = 1
Step3:
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
GCD of 890, 912, 25, 305 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 890, 912, 25, 305?
GCD of 890, 912, 25, 305 is 1
2. Where do I get the detailed procedure to find GCD of 890, 912, 25, 305?
You can find a detailed procedure to find GCD of 890, 912, 25, 305 on our page.
3. How to find GCD of 890, 912, 25, 305 on a calculator?
You can find the GCD of 890, 912, 25, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.