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 421, 963, 14, 381 i.e. 1 largest integer that divides all the numbers equally.
GCD of 421, 963, 14, 381 is 1
GCD(421, 963, 14, 381) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 421, 963, 14, 381 is 1
GCD(421, 963, 14, 381) = 1
Given Input numbers are 421, 963, 14, 381
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 421
List of positive integer divisors of 421 that divides 421 without a remainder.
1, 421
Divisors of 963
List of positive integer divisors of 963 that divides 963 without a remainder.
1, 3, 9, 107, 321, 963
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 381
List of positive integer divisors of 381 that divides 381 without a remainder.
1, 3, 127, 381
Greatest Common Divisior
We found the divisors of 421, 963, 14, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 421, 963, 14, 381 is 1.
Therefore, GCD of numbers 421, 963, 14, 381 is 1
Given Input Data is 421, 963, 14, 381
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 421 is 421
Prime Factorization of 963 is 3 x 3 x 107
Prime Factorization of 14 is 2 x 7
Prime Factorization of 381 is 3 x 127
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(421, 963) = 405423
GCD(421, 963) = ( 421 x 963 ) / 405423
GCD(421, 963) = 405423 / 405423
GCD(421, 963) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 14
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 14) = 14
GCD(1, 14) = ( 1 x 14 ) / 14
GCD(1, 14) = 14 / 14
GCD(1, 14) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 381
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 381) = 381
GCD(1, 381) = ( 1 x 381 ) / 381
GCD(1, 381) = 381 / 381
GCD(1, 381) = 1
GCD of 421, 963, 14, 381 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 421, 963, 14, 381?
GCD of 421, 963, 14, 381 is 1
2. Where do I get the detailed procedure to find GCD of 421, 963, 14, 381?
You can find a detailed procedure to find GCD of 421, 963, 14, 381 on our page.
3. How to find GCD of 421, 963, 14, 381 on a calculator?
You can find the GCD of 421, 963, 14, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.