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 536, 198, 73, 451 i.e. 1 largest integer that divides all the numbers equally.
GCD of 536, 198, 73, 451 is 1
GCD(536, 198, 73, 451) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 536, 198, 73, 451 is 1
GCD(536, 198, 73, 451) = 1
Given Input numbers are 536, 198, 73, 451
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 536
List of positive integer divisors of 536 that divides 536 without a remainder.
1, 2, 4, 8, 67, 134, 268, 536
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 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 451
List of positive integer divisors of 451 that divides 451 without a remainder.
1, 11, 41, 451
Greatest Common Divisior
We found the divisors of 536, 198, 73, 451 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 536, 198, 73, 451 is 1.
Therefore, GCD of numbers 536, 198, 73, 451 is 1
Given Input Data is 536, 198, 73, 451
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 536 is 2 x 2 x 2 x 67
Prime Factorization of 198 is 2 x 3 x 3 x 11
Prime Factorization of 73 is 73
Prime Factorization of 451 is 11 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(536, 198) = 53064
GCD(536, 198) = ( 536 x 198 ) / 53064
GCD(536, 198) = 106128 / 53064
GCD(536, 198) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 73) = 146
GCD(2, 73) = ( 2 x 73 ) / 146
GCD(2, 73) = 146 / 146
GCD(2, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 451
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 451) = 451
GCD(1, 451) = ( 1 x 451 ) / 451
GCD(1, 451) = 451 / 451
GCD(1, 451) = 1
GCD of 536, 198, 73, 451 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 536, 198, 73, 451?
GCD of 536, 198, 73, 451 is 1
2. Where do I get the detailed procedure to find GCD of 536, 198, 73, 451?
You can find a detailed procedure to find GCD of 536, 198, 73, 451 on our page.
3. How to find GCD of 536, 198, 73, 451 on a calculator?
You can find the GCD of 536, 198, 73, 451 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.