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 438, 890, 18, 963 i.e. 1 largest integer that divides all the numbers equally.
GCD of 438, 890, 18, 963 is 1
GCD(438, 890, 18, 963) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 438, 890, 18, 963 is 1
GCD(438, 890, 18, 963) = 1
Given Input numbers are 438, 890, 18, 963
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 438
List of positive integer divisors of 438 that divides 438 without a remainder.
1, 2, 3, 6, 73, 146, 219, 438
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 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 963
List of positive integer divisors of 963 that divides 963 without a remainder.
1, 3, 9, 107, 321, 963
Greatest Common Divisior
We found the divisors of 438, 890, 18, 963 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 890, 18, 963 is 1.
Therefore, GCD of numbers 438, 890, 18, 963 is 1
Given Input Data is 438, 890, 18, 963
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 438 is 2 x 3 x 73
Prime Factorization of 890 is 2 x 5 x 89
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 963 is 3 x 3 x 107
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(438, 890) = 194910
GCD(438, 890) = ( 438 x 890 ) / 194910
GCD(438, 890) = 389820 / 194910
GCD(438, 890) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 18
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 18) = 18
GCD(2, 18) = ( 2 x 18 ) / 18
GCD(2, 18) = 36 / 18
GCD(2, 18) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 963
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 963) = 1926
GCD(2, 963) = ( 2 x 963 ) / 1926
GCD(2, 963) = 1926 / 1926
GCD(2, 963) = 1
GCD of 438, 890, 18, 963 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 438, 890, 18, 963?
GCD of 438, 890, 18, 963 is 1
2. Where do I get the detailed procedure to find GCD of 438, 890, 18, 963?
You can find a detailed procedure to find GCD of 438, 890, 18, 963 on our page.
3. How to find GCD of 438, 890, 18, 963 on a calculator?
You can find the GCD of 438, 890, 18, 963 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.