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 614, 543, 12, 984 i.e. 1 largest integer that divides all the numbers equally.
GCD of 614, 543, 12, 984 is 1
GCD(614, 543, 12, 984) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 614, 543, 12, 984 is 1
GCD(614, 543, 12, 984) = 1
Given Input numbers are 614, 543, 12, 984
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 614
List of positive integer divisors of 614 that divides 614 without a remainder.
1, 2, 307, 614
Divisors of 543
List of positive integer divisors of 543 that divides 543 without a remainder.
1, 3, 181, 543
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
Greatest Common Divisior
We found the divisors of 614, 543, 12, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 543, 12, 984 is 1.
Therefore, GCD of numbers 614, 543, 12, 984 is 1
Given Input Data is 614, 543, 12, 984
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 614 is 2 x 307
Prime Factorization of 543 is 3 x 181
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41
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(614, 543) = 333402
GCD(614, 543) = ( 614 x 543 ) / 333402
GCD(614, 543) = 333402 / 333402
GCD(614, 543) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 12) = 12
GCD(1, 12) = ( 1 x 12 ) / 12
GCD(1, 12) = 12 / 12
GCD(1, 12) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 984
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 984) = 984
GCD(1, 984) = ( 1 x 984 ) / 984
GCD(1, 984) = 984 / 984
GCD(1, 984) = 1
GCD of 614, 543, 12, 984 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 614, 543, 12, 984?
GCD of 614, 543, 12, 984 is 1
2. Where do I get the detailed procedure to find GCD of 614, 543, 12, 984?
You can find a detailed procedure to find GCD of 614, 543, 12, 984 on our page.
3. How to find GCD of 614, 543, 12, 984 on a calculator?
You can find the GCD of 614, 543, 12, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.