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 12, 984, 742, 455 i.e. 1 largest integer that divides all the numbers equally.
GCD of 12, 984, 742, 455 is 1
GCD(12, 984, 742, 455) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 12, 984, 742, 455 is 1
GCD(12, 984, 742, 455) = 1
Given Input numbers are 12, 984, 742, 455
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 984
List of positive integer divisors of 984 that divides 984 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Divisors of 742
List of positive integer divisors of 742 that divides 742 without a remainder.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 455
List of positive integer divisors of 455 that divides 455 without a remainder.
1, 5, 7, 13, 35, 65, 91, 455
Greatest Common Divisior
We found the divisors of 12, 984, 742, 455 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 984, 742, 455 is 1.
Therefore, GCD of numbers 12, 984, 742, 455 is 1
Given Input Data is 12, 984, 742, 455
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41
Prime Factorization of 742 is 2 x 7 x 53
Prime Factorization of 455 is 5 x 7 x 13
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(12, 984) = 984
GCD(12, 984) = ( 12 x 984 ) / 984
GCD(12, 984) = 11808 / 984
GCD(12, 984) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 742
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 742) = 4452
GCD(12, 742) = ( 12 x 742 ) / 4452
GCD(12, 742) = 8904 / 4452
GCD(12, 742) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 455
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 455) = 910
GCD(2, 455) = ( 2 x 455 ) / 910
GCD(2, 455) = 910 / 910
GCD(2, 455) = 1
GCD of 12, 984, 742, 455 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 12, 984, 742, 455?
GCD of 12, 984, 742, 455 is 1
2. Where do I get the detailed procedure to find GCD of 12, 984, 742, 455?
You can find a detailed procedure to find GCD of 12, 984, 742, 455 on our page.
3. How to find GCD of 12, 984, 742, 455 on a calculator?
You can find the GCD of 12, 984, 742, 455 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.