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 814, 191, 25, 697 i.e. 1 largest integer that divides all the numbers equally.
GCD of 814, 191, 25, 697 is 1
GCD(814, 191, 25, 697) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 814, 191, 25, 697 is 1
GCD(814, 191, 25, 697) = 1
Given Input numbers are 814, 191, 25, 697
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 814
List of positive integer divisors of 814 that divides 814 without a remainder.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 191
List of positive integer divisors of 191 that divides 191 without a remainder.
1, 191
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 697
List of positive integer divisors of 697 that divides 697 without a remainder.
1, 17, 41, 697
Greatest Common Divisior
We found the divisors of 814, 191, 25, 697 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 191, 25, 697 is 1.
Therefore, GCD of numbers 814, 191, 25, 697 is 1
Given Input Data is 814, 191, 25, 697
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 814 is 2 x 11 x 37
Prime Factorization of 191 is 191
Prime Factorization of 25 is 5 x 5
Prime Factorization of 697 is 17 x 41
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(814, 191) = 155474
GCD(814, 191) = ( 814 x 191 ) / 155474
GCD(814, 191) = 155474 / 155474
GCD(814, 191) = 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 697
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 697) = 697
GCD(1, 697) = ( 1 x 697 ) / 697
GCD(1, 697) = 697 / 697
GCD(1, 697) = 1
GCD of 814, 191, 25, 697 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 814, 191, 25, 697?
GCD of 814, 191, 25, 697 is 1
2. Where do I get the detailed procedure to find GCD of 814, 191, 25, 697?
You can find a detailed procedure to find GCD of 814, 191, 25, 697 on our page.
3. How to find GCD of 814, 191, 25, 697 on a calculator?
You can find the GCD of 814, 191, 25, 697 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.