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 725, 805, 993, 838 i.e. 1 largest integer that divides all the numbers equally.
GCD of 725, 805, 993, 838 is 1
GCD(725, 805, 993, 838) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 725, 805, 993, 838 is 1
GCD(725, 805, 993, 838) = 1
Given Input numbers are 725, 805, 993, 838
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 725
List of positive integer divisors of 725 that divides 725 without a remainder.
1, 5, 25, 29, 145, 725
Divisors of 805
List of positive integer divisors of 805 that divides 805 without a remainder.
1, 5, 7, 23, 35, 115, 161, 805
Divisors of 993
List of positive integer divisors of 993 that divides 993 without a remainder.
1, 3, 331, 993
Divisors of 838
List of positive integer divisors of 838 that divides 838 without a remainder.
1, 2, 419, 838
Greatest Common Divisior
We found the divisors of 725, 805, 993, 838 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 725, 805, 993, 838 is 1.
Therefore, GCD of numbers 725, 805, 993, 838 is 1
Given Input Data is 725, 805, 993, 838
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 725 is 5 x 5 x 29
Prime Factorization of 805 is 5 x 7 x 23
Prime Factorization of 993 is 3 x 331
Prime Factorization of 838 is 2 x 419
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(725, 805) = 116725
GCD(725, 805) = ( 725 x 805 ) / 116725
GCD(725, 805) = 583625 / 116725
GCD(725, 805) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 993
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 993) = 4965
GCD(5, 993) = ( 5 x 993 ) / 4965
GCD(5, 993) = 4965 / 4965
GCD(5, 993) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 838
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 838) = 838
GCD(1, 838) = ( 1 x 838 ) / 838
GCD(1, 838) = 838 / 838
GCD(1, 838) = 1
GCD of 725, 805, 993, 838 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 725, 805, 993, 838?
GCD of 725, 805, 993, 838 is 1
2. Where do I get the detailed procedure to find GCD of 725, 805, 993, 838?
You can find a detailed procedure to find GCD of 725, 805, 993, 838 on our page.
3. How to find GCD of 725, 805, 993, 838 on a calculator?
You can find the GCD of 725, 805, 993, 838 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.