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 114, 381, 481, 710 i.e. 1 largest integer that divides all the numbers equally.
GCD of 114, 381, 481, 710 is 1
GCD(114, 381, 481, 710) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 114, 381, 481, 710 is 1
GCD(114, 381, 481, 710) = 1
Given Input numbers are 114, 381, 481, 710
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 114
List of positive integer divisors of 114 that divides 114 without a remainder.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 381
List of positive integer divisors of 381 that divides 381 without a remainder.
1, 3, 127, 381
Divisors of 481
List of positive integer divisors of 481 that divides 481 without a remainder.
1, 13, 37, 481
Divisors of 710
List of positive integer divisors of 710 that divides 710 without a remainder.
1, 2, 5, 10, 71, 142, 355, 710
Greatest Common Divisior
We found the divisors of 114, 381, 481, 710 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 381, 481, 710 is 1.
Therefore, GCD of numbers 114, 381, 481, 710 is 1
Given Input Data is 114, 381, 481, 710
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 114 is 2 x 3 x 19
Prime Factorization of 381 is 3 x 127
Prime Factorization of 481 is 13 x 37
Prime Factorization of 710 is 2 x 5 x 71
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(114, 381) = 14478
GCD(114, 381) = ( 114 x 381 ) / 14478
GCD(114, 381) = 43434 / 14478
GCD(114, 381) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 481
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 481) = 1443
GCD(3, 481) = ( 3 x 481 ) / 1443
GCD(3, 481) = 1443 / 1443
GCD(3, 481) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 710
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 710) = 710
GCD(1, 710) = ( 1 x 710 ) / 710
GCD(1, 710) = 710 / 710
GCD(1, 710) = 1
GCD of 114, 381, 481, 710 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 114, 381, 481, 710?
GCD of 114, 381, 481, 710 is 1
2. Where do I get the detailed procedure to find GCD of 114, 381, 481, 710?
You can find a detailed procedure to find GCD of 114, 381, 481, 710 on our page.
3. How to find GCD of 114, 381, 481, 710 on a calculator?
You can find the GCD of 114, 381, 481, 710 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.