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 45, 681, 815, 339 i.e. 1 largest integer that divides all the numbers equally.
GCD of 45, 681, 815, 339 is 1
GCD(45, 681, 815, 339) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 45, 681, 815, 339 is 1
GCD(45, 681, 815, 339) = 1
Given Input numbers are 45, 681, 815, 339
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Divisors of 681
List of positive integer divisors of 681 that divides 681 without a remainder.
1, 3, 227, 681
Divisors of 815
List of positive integer divisors of 815 that divides 815 without a remainder.
1, 5, 163, 815
Divisors of 339
List of positive integer divisors of 339 that divides 339 without a remainder.
1, 3, 113, 339
Greatest Common Divisior
We found the divisors of 45, 681, 815, 339 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 681, 815, 339 is 1.
Therefore, GCD of numbers 45, 681, 815, 339 is 1
Given Input Data is 45, 681, 815, 339
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 681 is 3 x 227
Prime Factorization of 815 is 5 x 163
Prime Factorization of 339 is 3 x 113
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(45, 681) = 10215
GCD(45, 681) = ( 45 x 681 ) / 10215
GCD(45, 681) = 30645 / 10215
GCD(45, 681) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 815
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 815) = 2445
GCD(3, 815) = ( 3 x 815 ) / 2445
GCD(3, 815) = 2445 / 2445
GCD(3, 815) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 339
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 339) = 339
GCD(1, 339) = ( 1 x 339 ) / 339
GCD(1, 339) = 339 / 339
GCD(1, 339) = 1
GCD of 45, 681, 815, 339 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 45, 681, 815, 339?
GCD of 45, 681, 815, 339 is 1
2. Where do I get the detailed procedure to find GCD of 45, 681, 815, 339?
You can find a detailed procedure to find GCD of 45, 681, 815, 339 on our page.
3. How to find GCD of 45, 681, 815, 339 on a calculator?
You can find the GCD of 45, 681, 815, 339 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.