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 697, 189, 50, 816 i.e. 1 largest integer that divides all the numbers equally.
GCD of 697, 189, 50, 816 is 1
GCD(697, 189, 50, 816) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 697, 189, 50, 816 is 1
GCD(697, 189, 50, 816) = 1
Given Input numbers are 697, 189, 50, 816
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 697
List of positive integer divisors of 697 that divides 697 without a remainder.
1, 17, 41, 697
Divisors of 189
List of positive integer divisors of 189 that divides 189 without a remainder.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 816
List of positive integer divisors of 816 that divides 816 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
Greatest Common Divisior
We found the divisors of 697, 189, 50, 816 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 697, 189, 50, 816 is 1.
Therefore, GCD of numbers 697, 189, 50, 816 is 1
Given Input Data is 697, 189, 50, 816
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 697 is 17 x 41
Prime Factorization of 189 is 3 x 3 x 3 x 7
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17
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(697, 189) = 131733
GCD(697, 189) = ( 697 x 189 ) / 131733
GCD(697, 189) = 131733 / 131733
GCD(697, 189) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 50
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 50) = 50
GCD(1, 50) = ( 1 x 50 ) / 50
GCD(1, 50) = 50 / 50
GCD(1, 50) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 816
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 816) = 816
GCD(1, 816) = ( 1 x 816 ) / 816
GCD(1, 816) = 816 / 816
GCD(1, 816) = 1
GCD of 697, 189, 50, 816 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 697, 189, 50, 816?
GCD of 697, 189, 50, 816 is 1
2. Where do I get the detailed procedure to find GCD of 697, 189, 50, 816?
You can find a detailed procedure to find GCD of 697, 189, 50, 816 on our page.
3. How to find GCD of 697, 189, 50, 816 on a calculator?
You can find the GCD of 697, 189, 50, 816 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.