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, 559, 906 i.e. 1 largest integer that divides all the numbers equally.
GCD of 697, 559, 906 is 1
GCD(697, 559, 906) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 697, 559, 906 is 1
GCD(697, 559, 906) = 1
Given Input numbers are 697, 559, 906
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 559
List of positive integer divisors of 559 that divides 559 without a remainder.
1, 13, 43, 559
Divisors of 906
List of positive integer divisors of 906 that divides 906 without a remainder.
1, 2, 3, 6, 151, 302, 453, 906
Greatest Common Divisior
We found the divisors of 697, 559, 906 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 697, 559, 906 is 1.
Therefore, GCD of numbers 697, 559, 906 is 1
Given Input Data is 697, 559, 906
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 697 is 17 x 41
Prime Factorization of 559 is 13 x 43
Prime Factorization of 906 is 2 x 3 x 151
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, 559) = 389623
GCD(697, 559) = ( 697 x 559 ) / 389623
GCD(697, 559) = 389623 / 389623
GCD(697, 559) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 906
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 906) = 906
GCD(1, 906) = ( 1 x 906 ) / 906
GCD(1, 906) = 906 / 906
GCD(1, 906) = 1
GCD of 697, 559, 906 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 697, 559, 906?
GCD of 697, 559, 906 is 1
2. Where do I get the detailed procedure to find GCD of 697, 559, 906?
You can find a detailed procedure to find GCD of 697, 559, 906 on our page.
3. How to find GCD of 697, 559, 906 on a calculator?
You can find the GCD of 697, 559, 906 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.