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, 999, 56, 449 i.e. 1 largest integer that divides all the numbers equally.
GCD of 699, 999, 56, 449 is 1
GCD(699, 999, 56, 449) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 699, 999, 56, 449 is 1
GCD(699, 999, 56, 449) = 1
Given Input numbers are 699, 999, 56, 449
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 999
List of positive integer divisors of 999 that divides 999 without a remainder.
1, 3, 9, 27, 37, 111, 333, 999
Divisors of 56
List of positive integer divisors of 56 that divides 56 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56
Divisors of 449
List of positive integer divisors of 449 that divides 449 without a remainder.
1, 449
Greatest Common Divisior
We found the divisors of 699, 999, 56, 449 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 699, 999, 56, 449 is 1.
Therefore, GCD of numbers 699, 999, 56, 449 is 1
Given Input Data is 699, 999, 56, 449
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 699 is 3 x 233
Prime Factorization of 999 is 3 x 3 x 3 x 37
Prime Factorization of 56 is 2 x 2 x 2 x 7
Prime Factorization of 449 is 449
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, 999) = 232767
GCD(699, 999) = ( 699 x 999 ) / 232767
GCD(699, 999) = 698301 / 232767
GCD(699, 999) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 56
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 56) = 168
GCD(3, 56) = ( 3 x 56 ) / 168
GCD(3, 56) = 168 / 168
GCD(3, 56) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 449
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 449) = 449
GCD(1, 449) = ( 1 x 449 ) / 449
GCD(1, 449) = 449 / 449
GCD(1, 449) = 1
GCD of 699, 999, 56, 449 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 699, 999, 56, 449?
GCD of 699, 999, 56, 449 is 1
2. Where do I get the detailed procedure to find GCD of 699, 999, 56, 449?
You can find a detailed procedure to find GCD of 699, 999, 56, 449 on our page.
3. How to find GCD of 699, 999, 56, 449 on a calculator?
You can find the GCD of 699, 999, 56, 449 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.