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 229, 799, 25, 370 i.e. 1 largest integer that divides all the numbers equally.
GCD of 229, 799, 25, 370 is 1
GCD(229, 799, 25, 370) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 229, 799, 25, 370 is 1
GCD(229, 799, 25, 370) = 1
Given Input numbers are 229, 799, 25, 370
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 229
List of positive integer divisors of 229 that divides 229 without a remainder.
1, 229
Divisors of 799
List of positive integer divisors of 799 that divides 799 without a remainder.
1, 17, 47, 799
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 370
List of positive integer divisors of 370 that divides 370 without a remainder.
1, 2, 5, 10, 37, 74, 185, 370
Greatest Common Divisior
We found the divisors of 229, 799, 25, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 229, 799, 25, 370 is 1.
Therefore, GCD of numbers 229, 799, 25, 370 is 1
Given Input Data is 229, 799, 25, 370
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 229 is 229
Prime Factorization of 799 is 17 x 47
Prime Factorization of 25 is 5 x 5
Prime Factorization of 370 is 2 x 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(229, 799) = 182971
GCD(229, 799) = ( 229 x 799 ) / 182971
GCD(229, 799) = 182971 / 182971
GCD(229, 799) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 25) = 25
GCD(1, 25) = ( 1 x 25 ) / 25
GCD(1, 25) = 25 / 25
GCD(1, 25) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 370
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 370) = 370
GCD(1, 370) = ( 1 x 370 ) / 370
GCD(1, 370) = 370 / 370
GCD(1, 370) = 1
GCD of 229, 799, 25, 370 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 229, 799, 25, 370?
GCD of 229, 799, 25, 370 is 1
2. Where do I get the detailed procedure to find GCD of 229, 799, 25, 370?
You can find a detailed procedure to find GCD of 229, 799, 25, 370 on our page.
3. How to find GCD of 229, 799, 25, 370 on a calculator?
You can find the GCD of 229, 799, 25, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.