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, 300, 81, 912 i.e. 1 largest integer that divides all the numbers equally.
GCD of 536, 300, 81, 912 is 1
GCD(536, 300, 81, 912) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 536, 300, 81, 912 is 1
GCD(536, 300, 81, 912) = 1
Given Input numbers are 536, 300, 81, 912
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 300
List of positive integer divisors of 300 that divides 300 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Divisors of 912
List of positive integer divisors of 912 that divides 912 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Greatest Common Divisior
We found the divisors of 536, 300, 81, 912 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 536, 300, 81, 912 is 1.
Therefore, GCD of numbers 536, 300, 81, 912 is 1
Given Input Data is 536, 300, 81, 912
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 300 is 2 x 2 x 3 x 5 x 5
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19
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, 300) = 40200
GCD(536, 300) = ( 536 x 300 ) / 40200
GCD(536, 300) = 160800 / 40200
GCD(536, 300) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 81
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 81) = 324
GCD(4, 81) = ( 4 x 81 ) / 324
GCD(4, 81) = 324 / 324
GCD(4, 81) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 912
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 912) = 912
GCD(1, 912) = ( 1 x 912 ) / 912
GCD(1, 912) = 912 / 912
GCD(1, 912) = 1
GCD of 536, 300, 81, 912 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 536, 300, 81, 912?
GCD of 536, 300, 81, 912 is 1
2. Where do I get the detailed procedure to find GCD of 536, 300, 81, 912?
You can find a detailed procedure to find GCD of 536, 300, 81, 912 on our page.
3. How to find GCD of 536, 300, 81, 912 on a calculator?
You can find the GCD of 536, 300, 81, 912 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.