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 366, 902, 96, 397 i.e. 1 largest integer that divides all the numbers equally.
GCD of 366, 902, 96, 397 is 1
GCD(366, 902, 96, 397) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 366, 902, 96, 397 is 1
GCD(366, 902, 96, 397) = 1
Given Input numbers are 366, 902, 96, 397
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 366
List of positive integer divisors of 366 that divides 366 without a remainder.
1, 2, 3, 6, 61, 122, 183, 366
Divisors of 902
List of positive integer divisors of 902 that divides 902 without a remainder.
1, 2, 11, 22, 41, 82, 451, 902
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 397
List of positive integer divisors of 397 that divides 397 without a remainder.
1, 397
Greatest Common Divisior
We found the divisors of 366, 902, 96, 397 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 366, 902, 96, 397 is 1.
Therefore, GCD of numbers 366, 902, 96, 397 is 1
Given Input Data is 366, 902, 96, 397
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 366 is 2 x 3 x 61
Prime Factorization of 902 is 2 x 11 x 41
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 397 is 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(366, 902) = 165066
GCD(366, 902) = ( 366 x 902 ) / 165066
GCD(366, 902) = 330132 / 165066
GCD(366, 902) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 96) = 96
GCD(2, 96) = ( 2 x 96 ) / 96
GCD(2, 96) = 192 / 96
GCD(2, 96) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 397
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 397) = 794
GCD(2, 397) = ( 2 x 397 ) / 794
GCD(2, 397) = 794 / 794
GCD(2, 397) = 1
GCD of 366, 902, 96, 397 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 366, 902, 96, 397?
GCD of 366, 902, 96, 397 is 1
2. Where do I get the detailed procedure to find GCD of 366, 902, 96, 397?
You can find a detailed procedure to find GCD of 366, 902, 96, 397 on our page.
3. How to find GCD of 366, 902, 96, 397 on a calculator?
You can find the GCD of 366, 902, 96, 397 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.