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, 536, 165, 597 i.e. 1 largest integer that divides all the numbers equally.
GCD of 12, 536, 165, 597 is 1
GCD(12, 536, 165, 597) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 12, 536, 165, 597 is 1
GCD(12, 536, 165, 597) = 1
Given Input numbers are 12, 536, 165, 597
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 536
List of positive integer divisors of 536 that divides 536 without a remainder.
1, 2, 4, 8, 67, 134, 268, 536
Divisors of 165
List of positive integer divisors of 165 that divides 165 without a remainder.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 597
List of positive integer divisors of 597 that divides 597 without a remainder.
1, 3, 199, 597
Greatest Common Divisior
We found the divisors of 12, 536, 165, 597 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 536, 165, 597 is 1.
Therefore, GCD of numbers 12, 536, 165, 597 is 1
Given Input Data is 12, 536, 165, 597
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 536 is 2 x 2 x 2 x 67
Prime Factorization of 165 is 3 x 5 x 11
Prime Factorization of 597 is 3 x 199
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, 536) = 1608
GCD(12, 536) = ( 12 x 536 ) / 1608
GCD(12, 536) = 6432 / 1608
GCD(12, 536) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 165
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 165) = 660
GCD(4, 165) = ( 4 x 165 ) / 660
GCD(4, 165) = 660 / 660
GCD(4, 165) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 597
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 597) = 597
GCD(1, 597) = ( 1 x 597 ) / 597
GCD(1, 597) = 597 / 597
GCD(1, 597) = 1
GCD of 12, 536, 165, 597 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 12, 536, 165, 597?
GCD of 12, 536, 165, 597 is 1
2. Where do I get the detailed procedure to find GCD of 12, 536, 165, 597?
You can find a detailed procedure to find GCD of 12, 536, 165, 597 on our page.
3. How to find GCD of 12, 536, 165, 597 on a calculator?
You can find the GCD of 12, 536, 165, 597 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.