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 699, 431, 330, 716 i.e. 1 largest integer that divides all the numbers equally.
GCD of 699, 431, 330, 716 is 1
GCD(699, 431, 330, 716) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 699, 431, 330, 716 is 1
GCD(699, 431, 330, 716) = 1
Given Input numbers are 699, 431, 330, 716
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 699
List of positive integer divisors of 699 that divides 699 without a remainder.
1, 3, 233, 699
Divisors of 431
List of positive integer divisors of 431 that divides 431 without a remainder.
1, 431
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 716
List of positive integer divisors of 716 that divides 716 without a remainder.
1, 2, 4, 179, 358, 716
Greatest Common Divisior
We found the divisors of 699, 431, 330, 716 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 699, 431, 330, 716 is 1.
Therefore, GCD of numbers 699, 431, 330, 716 is 1
Given Input Data is 699, 431, 330, 716
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 699 is 3 x 233
Prime Factorization of 431 is 431
Prime Factorization of 330 is 2 x 3 x 5 x 11
Prime Factorization of 716 is 2 x 2 x 179
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(699, 431) = 301269
GCD(699, 431) = ( 699 x 431 ) / 301269
GCD(699, 431) = 301269 / 301269
GCD(699, 431) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 330
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 330) = 330
GCD(1, 330) = ( 1 x 330 ) / 330
GCD(1, 330) = 330 / 330
GCD(1, 330) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 716
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 716) = 716
GCD(1, 716) = ( 1 x 716 ) / 716
GCD(1, 716) = 716 / 716
GCD(1, 716) = 1
GCD of 699, 431, 330, 716 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 699, 431, 330, 716?
GCD of 699, 431, 330, 716 is 1
2. Where do I get the detailed procedure to find GCD of 699, 431, 330, 716?
You can find a detailed procedure to find GCD of 699, 431, 330, 716 on our page.
3. How to find GCD of 699, 431, 330, 716 on a calculator?
You can find the GCD of 699, 431, 330, 716 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.