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 393, 972, 71, 373 i.e. 1 largest integer that divides all the numbers equally.
GCD of 393, 972, 71, 373 is 1
GCD(393, 972, 71, 373) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 393, 972, 71, 373 is 1
GCD(393, 972, 71, 373) = 1
Given Input numbers are 393, 972, 71, 373
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 393
List of positive integer divisors of 393 that divides 393 without a remainder.
1, 3, 131, 393
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 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 373
List of positive integer divisors of 373 that divides 373 without a remainder.
1, 373
Greatest Common Divisior
We found the divisors of 393, 972, 71, 373 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 393, 972, 71, 373 is 1.
Therefore, GCD of numbers 393, 972, 71, 373 is 1
Given Input Data is 393, 972, 71, 373
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 393 is 3 x 131
Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 71 is 71
Prime Factorization of 373 is 373
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(393, 972) = 127332
GCD(393, 972) = ( 393 x 972 ) / 127332
GCD(393, 972) = 381996 / 127332
GCD(393, 972) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 71
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 71) = 213
GCD(3, 71) = ( 3 x 71 ) / 213
GCD(3, 71) = 213 / 213
GCD(3, 71) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 373
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 373) = 373
GCD(1, 373) = ( 1 x 373 ) / 373
GCD(1, 373) = 373 / 373
GCD(1, 373) = 1
GCD of 393, 972, 71, 373 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 393, 972, 71, 373?
GCD of 393, 972, 71, 373 is 1
2. Where do I get the detailed procedure to find GCD of 393, 972, 71, 373?
You can find a detailed procedure to find GCD of 393, 972, 71, 373 on our page.
3. How to find GCD of 393, 972, 71, 373 on a calculator?
You can find the GCD of 393, 972, 71, 373 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.