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, 621, 726, 185 i.e. 1 largest integer that divides all the numbers equally.
GCD of 825, 621, 726, 185 is 1
GCD(825, 621, 726, 185) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 825, 621, 726, 185 is 1
GCD(825, 621, 726, 185) = 1
Given Input numbers are 825, 621, 726, 185
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 621
List of positive integer divisors of 621 that divides 621 without a remainder.
1, 3, 9, 23, 27, 69, 207, 621
Divisors of 726
List of positive integer divisors of 726 that divides 726 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
Divisors of 185
List of positive integer divisors of 185 that divides 185 without a remainder.
1, 5, 37, 185
Greatest Common Divisior
We found the divisors of 825, 621, 726, 185 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 621, 726, 185 is 1.
Therefore, GCD of numbers 825, 621, 726, 185 is 1
Given Input Data is 825, 621, 726, 185
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 621 is 3 x 3 x 3 x 23
Prime Factorization of 726 is 2 x 3 x 11 x 11
Prime Factorization of 185 is 5 x 37
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, 621) = 170775
GCD(825, 621) = ( 825 x 621 ) / 170775
GCD(825, 621) = 512325 / 170775
GCD(825, 621) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 726
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 726) = 726
GCD(3, 726) = ( 3 x 726 ) / 726
GCD(3, 726) = 2178 / 726
GCD(3, 726) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 185
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 185) = 555
GCD(3, 185) = ( 3 x 185 ) / 555
GCD(3, 185) = 555 / 555
GCD(3, 185) = 1
GCD of 825, 621, 726, 185 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 825, 621, 726, 185?
GCD of 825, 621, 726, 185 is 1
2. Where do I get the detailed procedure to find GCD of 825, 621, 726, 185?
You can find a detailed procedure to find GCD of 825, 621, 726, 185 on our page.
3. How to find GCD of 825, 621, 726, 185 on a calculator?
You can find the GCD of 825, 621, 726, 185 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.