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, 463, 393, 794 i.e. 1 largest integer that divides all the numbers equally.
GCD of 972, 463, 393, 794 is 1
GCD(972, 463, 393, 794) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 972, 463, 393, 794 is 1
GCD(972, 463, 393, 794) = 1
Given Input numbers are 972, 463, 393, 794
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 463
List of positive integer divisors of 463 that divides 463 without a remainder.
1, 463
Divisors of 393
List of positive integer divisors of 393 that divides 393 without a remainder.
1, 3, 131, 393
Divisors of 794
List of positive integer divisors of 794 that divides 794 without a remainder.
1, 2, 397, 794
Greatest Common Divisior
We found the divisors of 972, 463, 393, 794 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 463, 393, 794 is 1.
Therefore, GCD of numbers 972, 463, 393, 794 is 1
Given Input Data is 972, 463, 393, 794
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 463 is 463
Prime Factorization of 393 is 3 x 131
Prime Factorization of 794 is 2 x 397
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, 463) = 450036
GCD(972, 463) = ( 972 x 463 ) / 450036
GCD(972, 463) = 450036 / 450036
GCD(972, 463) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 393
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 393) = 393
GCD(1, 393) = ( 1 x 393 ) / 393
GCD(1, 393) = 393 / 393
GCD(1, 393) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 794
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 794) = 794
GCD(1, 794) = ( 1 x 794 ) / 794
GCD(1, 794) = 794 / 794
GCD(1, 794) = 1
GCD of 972, 463, 393, 794 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 972, 463, 393, 794?
GCD of 972, 463, 393, 794 is 1
2. Where do I get the detailed procedure to find GCD of 972, 463, 393, 794?
You can find a detailed procedure to find GCD of 972, 463, 393, 794 on our page.
3. How to find GCD of 972, 463, 393, 794 on a calculator?
You can find the GCD of 972, 463, 393, 794 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.