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, 626, 788, 711 i.e. 1 largest integer that divides all the numbers equally.
GCD of 16, 626, 788, 711 is 1
GCD(16, 626, 788, 711) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 16, 626, 788, 711 is 1
GCD(16, 626, 788, 711) = 1
Given Input numbers are 16, 626, 788, 711
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 626
List of positive integer divisors of 626 that divides 626 without a remainder.
1, 2, 313, 626
Divisors of 788
List of positive integer divisors of 788 that divides 788 without a remainder.
1, 2, 4, 197, 394, 788
Divisors of 711
List of positive integer divisors of 711 that divides 711 without a remainder.
1, 3, 9, 79, 237, 711
Greatest Common Divisior
We found the divisors of 16, 626, 788, 711 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 626, 788, 711 is 1.
Therefore, GCD of numbers 16, 626, 788, 711 is 1
Given Input Data is 16, 626, 788, 711
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 626 is 2 x 313
Prime Factorization of 788 is 2 x 2 x 197
Prime Factorization of 711 is 3 x 3 x 79
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, 626) = 5008
GCD(16, 626) = ( 16 x 626 ) / 5008
GCD(16, 626) = 10016 / 5008
GCD(16, 626) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 788
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 788) = 788
GCD(2, 788) = ( 2 x 788 ) / 788
GCD(2, 788) = 1576 / 788
GCD(2, 788) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 711
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 711) = 1422
GCD(2, 711) = ( 2 x 711 ) / 1422
GCD(2, 711) = 1422 / 1422
GCD(2, 711) = 1
GCD of 16, 626, 788, 711 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 16, 626, 788, 711?
GCD of 16, 626, 788, 711 is 1
2. Where do I get the detailed procedure to find GCD of 16, 626, 788, 711?
You can find a detailed procedure to find GCD of 16, 626, 788, 711 on our page.
3. How to find GCD of 16, 626, 788, 711 on a calculator?
You can find the GCD of 16, 626, 788, 711 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.