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 825, 152, 173, 337 i.e. 1 largest integer that divides all the numbers equally.
GCD of 825, 152, 173, 337 is 1
GCD(825, 152, 173, 337) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 825, 152, 173, 337 is 1
GCD(825, 152, 173, 337) = 1
Given Input numbers are 825, 152, 173, 337
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 825
List of positive integer divisors of 825 that divides 825 without a remainder.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 173
List of positive integer divisors of 173 that divides 173 without a remainder.
1, 173
Divisors of 337
List of positive integer divisors of 337 that divides 337 without a remainder.
1, 337
Greatest Common Divisior
We found the divisors of 825, 152, 173, 337 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 152, 173, 337 is 1.
Therefore, GCD of numbers 825, 152, 173, 337 is 1
Given Input Data is 825, 152, 173, 337
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 825 is 3 x 5 x 5 x 11
Prime Factorization of 152 is 2 x 2 x 2 x 19
Prime Factorization of 173 is 173
Prime Factorization of 337 is 337
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(825, 152) = 125400
GCD(825, 152) = ( 825 x 152 ) / 125400
GCD(825, 152) = 125400 / 125400
GCD(825, 152) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 173
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 173) = 173
GCD(1, 173) = ( 1 x 173 ) / 173
GCD(1, 173) = 173 / 173
GCD(1, 173) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 337
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 337) = 337
GCD(1, 337) = ( 1 x 337 ) / 337
GCD(1, 337) = 337 / 337
GCD(1, 337) = 1
GCD of 825, 152, 173, 337 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 825, 152, 173, 337?
GCD of 825, 152, 173, 337 is 1
2. Where do I get the detailed procedure to find GCD of 825, 152, 173, 337?
You can find a detailed procedure to find GCD of 825, 152, 173, 337 on our page.
3. How to find GCD of 825, 152, 173, 337 on a calculator?
You can find the GCD of 825, 152, 173, 337 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.