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 30, 972, 527, 828 i.e. 1 largest integer that divides all the numbers equally.
GCD of 30, 972, 527, 828 is 1
GCD(30, 972, 527, 828) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 30, 972, 527, 828 is 1
GCD(30, 972, 527, 828) = 1
Given Input numbers are 30, 972, 527, 828
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 972
List of positive integer divisors of 972 that divides 972 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 527
List of positive integer divisors of 527 that divides 527 without a remainder.
1, 17, 31, 527
Divisors of 828
List of positive integer divisors of 828 that divides 828 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Greatest Common Divisior
We found the divisors of 30, 972, 527, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 972, 527, 828 is 1.
Therefore, GCD of numbers 30, 972, 527, 828 is 1
Given Input Data is 30, 972, 527, 828
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 527 is 17 x 31
Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23
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(30, 972) = 4860
GCD(30, 972) = ( 30 x 972 ) / 4860
GCD(30, 972) = 29160 / 4860
GCD(30, 972) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 527
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 527) = 3162
GCD(6, 527) = ( 6 x 527 ) / 3162
GCD(6, 527) = 3162 / 3162
GCD(6, 527) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 828
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 828) = 828
GCD(1, 828) = ( 1 x 828 ) / 828
GCD(1, 828) = 828 / 828
GCD(1, 828) = 1
GCD of 30, 972, 527, 828 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 30, 972, 527, 828?
GCD of 30, 972, 527, 828 is 1
2. Where do I get the detailed procedure to find GCD of 30, 972, 527, 828?
You can find a detailed procedure to find GCD of 30, 972, 527, 828 on our page.
3. How to find GCD of 30, 972, 527, 828 on a calculator?
You can find the GCD of 30, 972, 527, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.