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 692, 702, 17, 859 i.e. 1 largest integer that divides all the numbers equally.
GCD of 692, 702, 17, 859 is 1
GCD(692, 702, 17, 859) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 692, 702, 17, 859 is 1
GCD(692, 702, 17, 859) = 1
Given Input numbers are 692, 702, 17, 859
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
Divisors of 702
List of positive integer divisors of 702 that divides 702 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 859
List of positive integer divisors of 859 that divides 859 without a remainder.
1, 859
Greatest Common Divisior
We found the divisors of 692, 702, 17, 859 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 692, 702, 17, 859 is 1.
Therefore, GCD of numbers 692, 702, 17, 859 is 1
Given Input Data is 692, 702, 17, 859
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 692 is 2 x 2 x 173
Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13
Prime Factorization of 17 is 17
Prime Factorization of 859 is 859
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(692, 702) = 242892
GCD(692, 702) = ( 692 x 702 ) / 242892
GCD(692, 702) = 485784 / 242892
GCD(692, 702) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 17) = 34
GCD(2, 17) = ( 2 x 17 ) / 34
GCD(2, 17) = 34 / 34
GCD(2, 17) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 859
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 859) = 859
GCD(1, 859) = ( 1 x 859 ) / 859
GCD(1, 859) = 859 / 859
GCD(1, 859) = 1
GCD of 692, 702, 17, 859 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 692, 702, 17, 859?
GCD of 692, 702, 17, 859 is 1
2. Where do I get the detailed procedure to find GCD of 692, 702, 17, 859?
You can find a detailed procedure to find GCD of 692, 702, 17, 859 on our page.
3. How to find GCD of 692, 702, 17, 859 on a calculator?
You can find the GCD of 692, 702, 17, 859 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.