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, 701, 31 i.e. 1 largest integer that divides all the numbers equally.
GCD of 330, 701, 31 is 1
GCD(330, 701, 31) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 330, 701, 31 is 1
GCD(330, 701, 31) = 1
Given Input numbers are 330, 701, 31
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 701
List of positive integer divisors of 701 that divides 701 without a remainder.
1, 701
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Greatest Common Divisior
We found the divisors of 330, 701, 31 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 330, 701, 31 is 1.
Therefore, GCD of numbers 330, 701, 31 is 1
Given Input Data is 330, 701, 31
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 701 is 701
Prime Factorization of 31 is 31
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, 701) = 231330
GCD(330, 701) = ( 330 x 701 ) / 231330
GCD(330, 701) = 231330 / 231330
GCD(330, 701) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 31) = 31
GCD(1, 31) = ( 1 x 31 ) / 31
GCD(1, 31) = 31 / 31
GCD(1, 31) = 1
GCD of 330, 701, 31 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 330, 701, 31?
GCD of 330, 701, 31 is 1
2. Where do I get the detailed procedure to find GCD of 330, 701, 31?
You can find a detailed procedure to find GCD of 330, 701, 31 on our page.
3. How to find GCD of 330, 701, 31 on a calculator?
You can find the GCD of 330, 701, 31 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.