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, 266, 32, 559 i.e. 1 largest integer that divides all the numbers equally.
GCD of 169, 266, 32, 559 is 1
GCD(169, 266, 32, 559) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 169, 266, 32, 559 is 1
GCD(169, 266, 32, 559) = 1
Given Input numbers are 169, 266, 32, 559
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 266
List of positive integer divisors of 266 that divides 266 without a remainder.
1, 2, 7, 14, 19, 38, 133, 266
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 559
List of positive integer divisors of 559 that divides 559 without a remainder.
1, 13, 43, 559
Greatest Common Divisior
We found the divisors of 169, 266, 32, 559 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 169, 266, 32, 559 is 1.
Therefore, GCD of numbers 169, 266, 32, 559 is 1
Given Input Data is 169, 266, 32, 559
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 169 is 13 x 13
Prime Factorization of 266 is 2 x 7 x 19
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 559 is 13 x 43
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, 266) = 44954
GCD(169, 266) = ( 169 x 266 ) / 44954
GCD(169, 266) = 44954 / 44954
GCD(169, 266) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 32
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 32) = 32
GCD(1, 32) = ( 1 x 32 ) / 32
GCD(1, 32) = 32 / 32
GCD(1, 32) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 559
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 559) = 559
GCD(1, 559) = ( 1 x 559 ) / 559
GCD(1, 559) = 559 / 559
GCD(1, 559) = 1
GCD of 169, 266, 32, 559 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 169, 266, 32, 559?
GCD of 169, 266, 32, 559 is 1
2. Where do I get the detailed procedure to find GCD of 169, 266, 32, 559?
You can find a detailed procedure to find GCD of 169, 266, 32, 559 on our page.
3. How to find GCD of 169, 266, 32, 559 on a calculator?
You can find the GCD of 169, 266, 32, 559 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.