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 391, 695, 14, 203 i.e. 1 largest integer that divides all the numbers equally.
GCD of 391, 695, 14, 203 is 1
GCD(391, 695, 14, 203) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 391, 695, 14, 203 is 1
GCD(391, 695, 14, 203) = 1
Given Input numbers are 391, 695, 14, 203
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 391
List of positive integer divisors of 391 that divides 391 without a remainder.
1, 17, 23, 391
Divisors of 695
List of positive integer divisors of 695 that divides 695 without a remainder.
1, 5, 139, 695
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 203
List of positive integer divisors of 203 that divides 203 without a remainder.
1, 7, 29, 203
Greatest Common Divisior
We found the divisors of 391, 695, 14, 203 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 391, 695, 14, 203 is 1.
Therefore, GCD of numbers 391, 695, 14, 203 is 1
Given Input Data is 391, 695, 14, 203
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 391 is 17 x 23
Prime Factorization of 695 is 5 x 139
Prime Factorization of 14 is 2 x 7
Prime Factorization of 203 is 7 x 29
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(391, 695) = 271745
GCD(391, 695) = ( 391 x 695 ) / 271745
GCD(391, 695) = 271745 / 271745
GCD(391, 695) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 14
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 14) = 14
GCD(1, 14) = ( 1 x 14 ) / 14
GCD(1, 14) = 14 / 14
GCD(1, 14) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 203
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 203) = 203
GCD(1, 203) = ( 1 x 203 ) / 203
GCD(1, 203) = 203 / 203
GCD(1, 203) = 1
GCD of 391, 695, 14, 203 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 391, 695, 14, 203?
GCD of 391, 695, 14, 203 is 1
2. Where do I get the detailed procedure to find GCD of 391, 695, 14, 203?
You can find a detailed procedure to find GCD of 391, 695, 14, 203 on our page.
3. How to find GCD of 391, 695, 14, 203 on a calculator?
You can find the GCD of 391, 695, 14, 203 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.