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 681, 136, 19, 314 i.e. 1 largest integer that divides all the numbers equally.
GCD of 681, 136, 19, 314 is 1
GCD(681, 136, 19, 314) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 681, 136, 19, 314 is 1
GCD(681, 136, 19, 314) = 1
Given Input numbers are 681, 136, 19, 314
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 681
List of positive integer divisors of 681 that divides 681 without a remainder.
1, 3, 227, 681
Divisors of 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 19
List of positive integer divisors of 19 that divides 19 without a remainder.
1, 19
Divisors of 314
List of positive integer divisors of 314 that divides 314 without a remainder.
1, 2, 157, 314
Greatest Common Divisior
We found the divisors of 681, 136, 19, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 681, 136, 19, 314 is 1.
Therefore, GCD of numbers 681, 136, 19, 314 is 1
Given Input Data is 681, 136, 19, 314
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 681 is 3 x 227
Prime Factorization of 136 is 2 x 2 x 2 x 17
Prime Factorization of 19 is 19
Prime Factorization of 314 is 2 x 157
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(681, 136) = 92616
GCD(681, 136) = ( 681 x 136 ) / 92616
GCD(681, 136) = 92616 / 92616
GCD(681, 136) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 19
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 19) = 19
GCD(1, 19) = ( 1 x 19 ) / 19
GCD(1, 19) = 19 / 19
GCD(1, 19) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 314
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 314) = 314
GCD(1, 314) = ( 1 x 314 ) / 314
GCD(1, 314) = 314 / 314
GCD(1, 314) = 1
GCD of 681, 136, 19, 314 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 681, 136, 19, 314?
GCD of 681, 136, 19, 314 is 1
2. Where do I get the detailed procedure to find GCD of 681, 136, 19, 314?
You can find a detailed procedure to find GCD of 681, 136, 19, 314 on our page.
3. How to find GCD of 681, 136, 19, 314 on a calculator?
You can find the GCD of 681, 136, 19, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.