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 169, 806, 33, 713 i.e. 1 largest integer that divides all the numbers equally.
GCD of 169, 806, 33, 713 is 1
GCD(169, 806, 33, 713) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 169, 806, 33, 713 is 1
GCD(169, 806, 33, 713) = 1
Given Input numbers are 169, 806, 33, 713
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 169
List of positive integer divisors of 169 that divides 169 without a remainder.
1, 13, 169
Divisors of 806
List of positive integer divisors of 806 that divides 806 without a remainder.
1, 2, 13, 26, 31, 62, 403, 806
Divisors of 33
List of positive integer divisors of 33 that divides 33 without a remainder.
1, 3, 11, 33
Divisors of 713
List of positive integer divisors of 713 that divides 713 without a remainder.
1, 23, 31, 713
Greatest Common Divisior
We found the divisors of 169, 806, 33, 713 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 169, 806, 33, 713 is 1.
Therefore, GCD of numbers 169, 806, 33, 713 is 1
Given Input Data is 169, 806, 33, 713
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 169 is 13 x 13
Prime Factorization of 806 is 2 x 13 x 31
Prime Factorization of 33 is 3 x 11
Prime Factorization of 713 is 23 x 31
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(169, 806) = 10478
GCD(169, 806) = ( 169 x 806 ) / 10478
GCD(169, 806) = 136214 / 10478
GCD(169, 806) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 33
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 33) = 429
GCD(13, 33) = ( 13 x 33 ) / 429
GCD(13, 33) = 429 / 429
GCD(13, 33) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 713
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 713) = 713
GCD(1, 713) = ( 1 x 713 ) / 713
GCD(1, 713) = 713 / 713
GCD(1, 713) = 1
GCD of 169, 806, 33, 713 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 169, 806, 33, 713?
GCD of 169, 806, 33, 713 is 1
2. Where do I get the detailed procedure to find GCD of 169, 806, 33, 713?
You can find a detailed procedure to find GCD of 169, 806, 33, 713 on our page.
3. How to find GCD of 169, 806, 33, 713 on a calculator?
You can find the GCD of 169, 806, 33, 713 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.