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 534, 198, 12, 425 i.e. 1 largest integer that divides all the numbers equally.
GCD of 534, 198, 12, 425 is 1
GCD(534, 198, 12, 425) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 534, 198, 12, 425 is 1
GCD(534, 198, 12, 425) = 1
Given Input numbers are 534, 198, 12, 425
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 534
List of positive integer divisors of 534 that divides 534 without a remainder.
1, 2, 3, 6, 89, 178, 267, 534
Divisors of 198
List of positive integer divisors of 198 that divides 198 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 425
List of positive integer divisors of 425 that divides 425 without a remainder.
1, 5, 17, 25, 85, 425
Greatest Common Divisior
We found the divisors of 534, 198, 12, 425 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 534, 198, 12, 425 is 1.
Therefore, GCD of numbers 534, 198, 12, 425 is 1
Given Input Data is 534, 198, 12, 425
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 534 is 2 x 3 x 89
Prime Factorization of 198 is 2 x 3 x 3 x 11
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 425 is 5 x 5 x 17
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(534, 198) = 17622
GCD(534, 198) = ( 534 x 198 ) / 17622
GCD(534, 198) = 105732 / 17622
GCD(534, 198) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 12) = 12
GCD(6, 12) = ( 6 x 12 ) / 12
GCD(6, 12) = 72 / 12
GCD(6, 12) = 6
Step3:
Here we consider the GCD from the above i.e. 6 as first number and the next as 425
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 425) = 2550
GCD(6, 425) = ( 6 x 425 ) / 2550
GCD(6, 425) = 2550 / 2550
GCD(6, 425) = 1
GCD of 534, 198, 12, 425 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 534, 198, 12, 425?
GCD of 534, 198, 12, 425 is 1
2. Where do I get the detailed procedure to find GCD of 534, 198, 12, 425?
You can find a detailed procedure to find GCD of 534, 198, 12, 425 on our page.
3. How to find GCD of 534, 198, 12, 425 on a calculator?
You can find the GCD of 534, 198, 12, 425 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.