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 747, 393, 97, 363 i.e. 1 largest integer that divides all the numbers equally.
GCD of 747, 393, 97, 363 is 1
GCD(747, 393, 97, 363) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 747, 393, 97, 363 is 1
GCD(747, 393, 97, 363) = 1
Given Input numbers are 747, 393, 97, 363
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
Divisors of 393
List of positive integer divisors of 393 that divides 393 without a remainder.
1, 3, 131, 393
Divisors of 97
List of positive integer divisors of 97 that divides 97 without a remainder.
1, 97
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Greatest Common Divisior
We found the divisors of 747, 393, 97, 363 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 393, 97, 363 is 1.
Therefore, GCD of numbers 747, 393, 97, 363 is 1
Given Input Data is 747, 393, 97, 363
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 747 is 3 x 3 x 83
Prime Factorization of 393 is 3 x 131
Prime Factorization of 97 is 97
Prime Factorization of 363 is 3 x 11 x 11
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(747, 393) = 97857
GCD(747, 393) = ( 747 x 393 ) / 97857
GCD(747, 393) = 293571 / 97857
GCD(747, 393) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 97
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 97) = 291
GCD(3, 97) = ( 3 x 97 ) / 291
GCD(3, 97) = 291 / 291
GCD(3, 97) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 363
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 363) = 363
GCD(1, 363) = ( 1 x 363 ) / 363
GCD(1, 363) = 363 / 363
GCD(1, 363) = 1
GCD of 747, 393, 97, 363 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 747, 393, 97, 363?
GCD of 747, 393, 97, 363 is 1
2. Where do I get the detailed procedure to find GCD of 747, 393, 97, 363?
You can find a detailed procedure to find GCD of 747, 393, 97, 363 on our page.
3. How to find GCD of 747, 393, 97, 363 on a calculator?
You can find the GCD of 747, 393, 97, 363 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.