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, 657, 910, 695 i.e. 1 largest integer that divides all the numbers equally.
GCD of 16, 657, 910, 695 is 1
GCD(16, 657, 910, 695) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 16, 657, 910, 695 is 1
GCD(16, 657, 910, 695) = 1
Given Input numbers are 16, 657, 910, 695
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 657
List of positive integer divisors of 657 that divides 657 without a remainder.
1, 3, 9, 73, 219, 657
Divisors of 910
List of positive integer divisors of 910 that divides 910 without a remainder.
1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
Divisors of 695
List of positive integer divisors of 695 that divides 695 without a remainder.
1, 5, 139, 695
Greatest Common Divisior
We found the divisors of 16, 657, 910, 695 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 657, 910, 695 is 1.
Therefore, GCD of numbers 16, 657, 910, 695 is 1
Given Input Data is 16, 657, 910, 695
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 657 is 3 x 3 x 73
Prime Factorization of 910 is 2 x 5 x 7 x 13
Prime Factorization of 695 is 5 x 139
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, 657) = 10512
GCD(16, 657) = ( 16 x 657 ) / 10512
GCD(16, 657) = 10512 / 10512
GCD(16, 657) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 910
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 910) = 910
GCD(1, 910) = ( 1 x 910 ) / 910
GCD(1, 910) = 910 / 910
GCD(1, 910) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 695
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 695) = 695
GCD(1, 695) = ( 1 x 695 ) / 695
GCD(1, 695) = 695 / 695
GCD(1, 695) = 1
GCD of 16, 657, 910, 695 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 16, 657, 910, 695?
GCD of 16, 657, 910, 695 is 1
2. Where do I get the detailed procedure to find GCD of 16, 657, 910, 695?
You can find a detailed procedure to find GCD of 16, 657, 910, 695 on our page.
3. How to find GCD of 16, 657, 910, 695 on a calculator?
You can find the GCD of 16, 657, 910, 695 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.