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 972, 363, 19, 530 i.e. 1 largest integer that divides all the numbers equally.
GCD of 972, 363, 19, 530 is 1
GCD(972, 363, 19, 530) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 972, 363, 19, 530 is 1
GCD(972, 363, 19, 530) = 1
Given Input numbers are 972, 363, 19, 530
To find the GCD of numbers using factoring list out all the divisors of each number
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 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Divisors of 19
List of positive integer divisors of 19 that divides 19 without a remainder.
1, 19
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 972, 363, 19, 530 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 363, 19, 530 is 1.
Therefore, GCD of numbers 972, 363, 19, 530 is 1
Given Input Data is 972, 363, 19, 530
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 363 is 3 x 11 x 11
Prime Factorization of 19 is 19
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(972, 363) = 117612
GCD(972, 363) = ( 972 x 363 ) / 117612
GCD(972, 363) = 352836 / 117612
GCD(972, 363) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 19
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 19) = 57
GCD(3, 19) = ( 3 x 19 ) / 57
GCD(3, 19) = 57 / 57
GCD(3, 19) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 530
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 530) = 530
GCD(1, 530) = ( 1 x 530 ) / 530
GCD(1, 530) = 530 / 530
GCD(1, 530) = 1
GCD of 972, 363, 19, 530 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 972, 363, 19, 530?
GCD of 972, 363, 19, 530 is 1
2. Where do I get the detailed procedure to find GCD of 972, 363, 19, 530?
You can find a detailed procedure to find GCD of 972, 363, 19, 530 on our page.
3. How to find GCD of 972, 363, 19, 530 on a calculator?
You can find the GCD of 972, 363, 19, 530 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.