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 306, 927, 552, 530 i.e. 1 largest integer that divides all the numbers equally.
GCD of 306, 927, 552, 530 is 1
GCD(306, 927, 552, 530) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 306, 927, 552, 530 is 1
GCD(306, 927, 552, 530) = 1
Given Input numbers are 306, 927, 552, 530
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 306
List of positive integer divisors of 306 that divides 306 without a remainder.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
Divisors of 927
List of positive integer divisors of 927 that divides 927 without a remainder.
1, 3, 9, 103, 309, 927
Divisors of 552
List of positive integer divisors of 552 that divides 552 without a remainder.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 530
List of positive integer divisors of 530 that divides 530 without a remainder.
1, 2, 5, 10, 53, 106, 265, 530
Greatest Common Divisior
We found the divisors of 306, 927, 552, 530 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 306, 927, 552, 530 is 1.
Therefore, GCD of numbers 306, 927, 552, 530 is 1
Given Input Data is 306, 927, 552, 530
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 306 is 2 x 3 x 3 x 17
Prime Factorization of 927 is 3 x 3 x 103
Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23
Prime Factorization of 530 is 2 x 5 x 53
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(306, 927) = 31518
GCD(306, 927) = ( 306 x 927 ) / 31518
GCD(306, 927) = 283662 / 31518
GCD(306, 927) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 552
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 552) = 1656
GCD(9, 552) = ( 9 x 552 ) / 1656
GCD(9, 552) = 4968 / 1656
GCD(9, 552) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 530
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 530) = 1590
GCD(3, 530) = ( 3 x 530 ) / 1590
GCD(3, 530) = 1590 / 1590
GCD(3, 530) = 1
GCD of 306, 927, 552, 530 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 306, 927, 552, 530?
GCD of 306, 927, 552, 530 is 1
2. Where do I get the detailed procedure to find GCD of 306, 927, 552, 530?
You can find a detailed procedure to find GCD of 306, 927, 552, 530 on our page.
3. How to find GCD of 306, 927, 552, 530 on a calculator?
You can find the GCD of 306, 927, 552, 530 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.