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 727, 137, 380, 438 i.e. 1 largest integer that divides all the numbers equally.
GCD of 727, 137, 380, 438 is 1
GCD(727, 137, 380, 438) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 727, 137, 380, 438 is 1
GCD(727, 137, 380, 438) = 1
Given Input numbers are 727, 137, 380, 438
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 727
List of positive integer divisors of 727 that divides 727 without a remainder.
1, 727
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Divisors of 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 438
List of positive integer divisors of 438 that divides 438 without a remainder.
1, 2, 3, 6, 73, 146, 219, 438
Greatest Common Divisior
We found the divisors of 727, 137, 380, 438 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 727, 137, 380, 438 is 1.
Therefore, GCD of numbers 727, 137, 380, 438 is 1
Given Input Data is 727, 137, 380, 438
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 727 is 727
Prime Factorization of 137 is 137
Prime Factorization of 380 is 2 x 2 x 5 x 19
Prime Factorization of 438 is 2 x 3 x 73
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(727, 137) = 99599
GCD(727, 137) = ( 727 x 137 ) / 99599
GCD(727, 137) = 99599 / 99599
GCD(727, 137) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 380
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 380) = 380
GCD(1, 380) = ( 1 x 380 ) / 380
GCD(1, 380) = 380 / 380
GCD(1, 380) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 438
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 438) = 438
GCD(1, 438) = ( 1 x 438 ) / 438
GCD(1, 438) = 438 / 438
GCD(1, 438) = 1
GCD of 727, 137, 380, 438 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 727, 137, 380, 438?
GCD of 727, 137, 380, 438 is 1
2. Where do I get the detailed procedure to find GCD of 727, 137, 380, 438?
You can find a detailed procedure to find GCD of 727, 137, 380, 438 on our page.
3. How to find GCD of 727, 137, 380, 438 on a calculator?
You can find the GCD of 727, 137, 380, 438 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.