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 333, 951, 699, 997 i.e. 1 largest integer that divides all the numbers equally.
GCD of 333, 951, 699, 997 is 1
GCD(333, 951, 699, 997) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 333, 951, 699, 997 is 1
GCD(333, 951, 699, 997) = 1
Given Input numbers are 333, 951, 699, 997
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 333
List of positive integer divisors of 333 that divides 333 without a remainder.
1, 3, 9, 37, 111, 333
Divisors of 951
List of positive integer divisors of 951 that divides 951 without a remainder.
1, 3, 317, 951
Divisors of 699
List of positive integer divisors of 699 that divides 699 without a remainder.
1, 3, 233, 699
Divisors of 997
List of positive integer divisors of 997 that divides 997 without a remainder.
1, 997
Greatest Common Divisior
We found the divisors of 333, 951, 699, 997 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 333, 951, 699, 997 is 1.
Therefore, GCD of numbers 333, 951, 699, 997 is 1
Given Input Data is 333, 951, 699, 997
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 333 is 3 x 3 x 37
Prime Factorization of 951 is 3 x 317
Prime Factorization of 699 is 3 x 233
Prime Factorization of 997 is 997
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(333, 951) = 105561
GCD(333, 951) = ( 333 x 951 ) / 105561
GCD(333, 951) = 316683 / 105561
GCD(333, 951) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 699
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 699) = 699
GCD(3, 699) = ( 3 x 699 ) / 699
GCD(3, 699) = 2097 / 699
GCD(3, 699) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 997
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 997) = 2991
GCD(3, 997) = ( 3 x 997 ) / 2991
GCD(3, 997) = 2991 / 2991
GCD(3, 997) = 1
GCD of 333, 951, 699, 997 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 333, 951, 699, 997?
GCD of 333, 951, 699, 997 is 1
2. Where do I get the detailed procedure to find GCD of 333, 951, 699, 997?
You can find a detailed procedure to find GCD of 333, 951, 699, 997 on our page.
3. How to find GCD of 333, 951, 699, 997 on a calculator?
You can find the GCD of 333, 951, 699, 997 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.