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, 855, 188, 161 i.e. 1 largest integer that divides all the numbers equally.
GCD of 725, 855, 188, 161 is 1
GCD(725, 855, 188, 161) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 725, 855, 188, 161 is 1
GCD(725, 855, 188, 161) = 1
Given Input numbers are 725, 855, 188, 161
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 855
List of positive integer divisors of 855 that divides 855 without a remainder.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Divisors of 188
List of positive integer divisors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
Divisors of 161
List of positive integer divisors of 161 that divides 161 without a remainder.
1, 7, 23, 161
Greatest Common Divisior
We found the divisors of 725, 855, 188, 161 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 725, 855, 188, 161 is 1.
Therefore, GCD of numbers 725, 855, 188, 161 is 1
Given Input Data is 725, 855, 188, 161
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 855 is 3 x 3 x 5 x 19
Prime Factorization of 188 is 2 x 2 x 47
Prime Factorization of 161 is 7 x 23
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, 855) = 123975
GCD(725, 855) = ( 725 x 855 ) / 123975
GCD(725, 855) = 619875 / 123975
GCD(725, 855) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 188
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 188) = 940
GCD(5, 188) = ( 5 x 188 ) / 940
GCD(5, 188) = 940 / 940
GCD(5, 188) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 161
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 161) = 161
GCD(1, 161) = ( 1 x 161 ) / 161
GCD(1, 161) = 161 / 161
GCD(1, 161) = 1
GCD of 725, 855, 188, 161 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 725, 855, 188, 161?
GCD of 725, 855, 188, 161 is 1
2. Where do I get the detailed procedure to find GCD of 725, 855, 188, 161?
You can find a detailed procedure to find GCD of 725, 855, 188, 161 on our page.
3. How to find GCD of 725, 855, 188, 161 on a calculator?
You can find the GCD of 725, 855, 188, 161 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.