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 330, 997, 82, 274 i.e. 1 largest integer that divides all the numbers equally.
GCD of 330, 997, 82, 274 is 1
GCD(330, 997, 82, 274) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 330, 997, 82, 274 is 1
GCD(330, 997, 82, 274) = 1
Given Input numbers are 330, 997, 82, 274
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 330
List of positive integer divisors of 330 that divides 330 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
Divisors of 997
List of positive integer divisors of 997 that divides 997 without a remainder.
1, 997
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 274
List of positive integer divisors of 274 that divides 274 without a remainder.
1, 2, 137, 274
Greatest Common Divisior
We found the divisors of 330, 997, 82, 274 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 330, 997, 82, 274 is 1.
Therefore, GCD of numbers 330, 997, 82, 274 is 1
Given Input Data is 330, 997, 82, 274
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 330 is 2 x 3 x 5 x 11
Prime Factorization of 997 is 997
Prime Factorization of 82 is 2 x 41
Prime Factorization of 274 is 2 x 137
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(330, 997) = 329010
GCD(330, 997) = ( 330 x 997 ) / 329010
GCD(330, 997) = 329010 / 329010
GCD(330, 997) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 82
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 82) = 82
GCD(1, 82) = ( 1 x 82 ) / 82
GCD(1, 82) = 82 / 82
GCD(1, 82) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 274
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 274) = 274
GCD(1, 274) = ( 1 x 274 ) / 274
GCD(1, 274) = 274 / 274
GCD(1, 274) = 1
GCD of 330, 997, 82, 274 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 330, 997, 82, 274?
GCD of 330, 997, 82, 274 is 1
2. Where do I get the detailed procedure to find GCD of 330, 997, 82, 274?
You can find a detailed procedure to find GCD of 330, 997, 82, 274 on our page.
3. How to find GCD of 330, 997, 82, 274 on a calculator?
You can find the GCD of 330, 997, 82, 274 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.