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, 750, 221, 539 i.e. 1 largest integer that divides all the numbers equally.
GCD of 12, 750, 221, 539 is 1
GCD(12, 750, 221, 539) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 12, 750, 221, 539 is 1
GCD(12, 750, 221, 539) = 1
Given Input numbers are 12, 750, 221, 539
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 750
List of positive integer divisors of 750 that divides 750 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Divisors of 221
List of positive integer divisors of 221 that divides 221 without a remainder.
1, 13, 17, 221
Divisors of 539
List of positive integer divisors of 539 that divides 539 without a remainder.
1, 7, 11, 49, 77, 539
Greatest Common Divisior
We found the divisors of 12, 750, 221, 539 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 750, 221, 539 is 1.
Therefore, GCD of numbers 12, 750, 221, 539 is 1
Given Input Data is 12, 750, 221, 539
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 750 is 2 x 3 x 5 x 5 x 5
Prime Factorization of 221 is 13 x 17
Prime Factorization of 539 is 7 x 7 x 11
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, 750) = 1500
GCD(12, 750) = ( 12 x 750 ) / 1500
GCD(12, 750) = 9000 / 1500
GCD(12, 750) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 221
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 221) = 1326
GCD(6, 221) = ( 6 x 221 ) / 1326
GCD(6, 221) = 1326 / 1326
GCD(6, 221) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 539
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 539) = 539
GCD(1, 539) = ( 1 x 539 ) / 539
GCD(1, 539) = 539 / 539
GCD(1, 539) = 1
GCD of 12, 750, 221, 539 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 12, 750, 221, 539?
GCD of 12, 750, 221, 539 is 1
2. Where do I get the detailed procedure to find GCD of 12, 750, 221, 539?
You can find a detailed procedure to find GCD of 12, 750, 221, 539 on our page.
3. How to find GCD of 12, 750, 221, 539 on a calculator?
You can find the GCD of 12, 750, 221, 539 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.