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 16, 699, 631, 414 i.e. 1 largest integer that divides all the numbers equally.
GCD of 16, 699, 631, 414 is 1
GCD(16, 699, 631, 414) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 16, 699, 631, 414 is 1
GCD(16, 699, 631, 414) = 1
Given Input numbers are 16, 699, 631, 414
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 699
List of positive integer divisors of 699 that divides 699 without a remainder.
1, 3, 233, 699
Divisors of 631
List of positive integer divisors of 631 that divides 631 without a remainder.
1, 631
Divisors of 414
List of positive integer divisors of 414 that divides 414 without a remainder.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Greatest Common Divisior
We found the divisors of 16, 699, 631, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 699, 631, 414 is 1.
Therefore, GCD of numbers 16, 699, 631, 414 is 1
Given Input Data is 16, 699, 631, 414
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 699 is 3 x 233
Prime Factorization of 631 is 631
Prime Factorization of 414 is 2 x 3 x 3 x 23
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(16, 699) = 11184
GCD(16, 699) = ( 16 x 699 ) / 11184
GCD(16, 699) = 11184 / 11184
GCD(16, 699) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 631
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 631) = 631
GCD(1, 631) = ( 1 x 631 ) / 631
GCD(1, 631) = 631 / 631
GCD(1, 631) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 414
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 414) = 414
GCD(1, 414) = ( 1 x 414 ) / 414
GCD(1, 414) = 414 / 414
GCD(1, 414) = 1
GCD of 16, 699, 631, 414 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 16, 699, 631, 414?
GCD of 16, 699, 631, 414 is 1
2. Where do I get the detailed procedure to find GCD of 16, 699, 631, 414?
You can find a detailed procedure to find GCD of 16, 699, 631, 414 on our page.
3. How to find GCD of 16, 699, 631, 414 on a calculator?
You can find the GCD of 16, 699, 631, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.