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 826, 104, 52, 173 i.e. 1 largest integer that divides all the numbers equally.
GCD of 826, 104, 52, 173 is 1
GCD(826, 104, 52, 173) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 826, 104, 52, 173 is 1
GCD(826, 104, 52, 173) = 1
Given Input numbers are 826, 104, 52, 173
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 826
List of positive integer divisors of 826 that divides 826 without a remainder.
1, 2, 7, 14, 59, 118, 413, 826
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 173
List of positive integer divisors of 173 that divides 173 without a remainder.
1, 173
Greatest Common Divisior
We found the divisors of 826, 104, 52, 173 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 826, 104, 52, 173 is 1.
Therefore, GCD of numbers 826, 104, 52, 173 is 1
Given Input Data is 826, 104, 52, 173
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 826 is 2 x 7 x 59
Prime Factorization of 104 is 2 x 2 x 2 x 13
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 173 is 173
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(826, 104) = 42952
GCD(826, 104) = ( 826 x 104 ) / 42952
GCD(826, 104) = 85904 / 42952
GCD(826, 104) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 52) = 52
GCD(2, 52) = ( 2 x 52 ) / 52
GCD(2, 52) = 104 / 52
GCD(2, 52) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 173
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 173) = 346
GCD(2, 173) = ( 2 x 173 ) / 346
GCD(2, 173) = 346 / 346
GCD(2, 173) = 1
GCD of 826, 104, 52, 173 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 826, 104, 52, 173?
GCD of 826, 104, 52, 173 is 1
2. Where do I get the detailed procedure to find GCD of 826, 104, 52, 173?
You can find a detailed procedure to find GCD of 826, 104, 52, 173 on our page.
3. How to find GCD of 826, 104, 52, 173 on a calculator?
You can find the GCD of 826, 104, 52, 173 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.