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 395, 875, 293, 314 i.e. 1 largest integer that divides all the numbers equally.
GCD of 395, 875, 293, 314 is 1
GCD(395, 875, 293, 314) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 395, 875, 293, 314 is 1
GCD(395, 875, 293, 314) = 1
Given Input numbers are 395, 875, 293, 314
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 395
List of positive integer divisors of 395 that divides 395 without a remainder.
1, 5, 79, 395
Divisors of 875
List of positive integer divisors of 875 that divides 875 without a remainder.
1, 5, 7, 25, 35, 125, 175, 875
Divisors of 293
List of positive integer divisors of 293 that divides 293 without a remainder.
1, 293
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 395, 875, 293, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 395, 875, 293, 314 is 1.
Therefore, GCD of numbers 395, 875, 293, 314 is 1
Given Input Data is 395, 875, 293, 314
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 395 is 5 x 79
Prime Factorization of 875 is 5 x 5 x 5 x 7
Prime Factorization of 293 is 293
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(395, 875) = 69125
GCD(395, 875) = ( 395 x 875 ) / 69125
GCD(395, 875) = 345625 / 69125
GCD(395, 875) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 293
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 293) = 1465
GCD(5, 293) = ( 5 x 293 ) / 1465
GCD(5, 293) = 1465 / 1465
GCD(5, 293) = 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 395, 875, 293, 314 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 395, 875, 293, 314?
GCD of 395, 875, 293, 314 is 1
2. Where do I get the detailed procedure to find GCD of 395, 875, 293, 314?
You can find a detailed procedure to find GCD of 395, 875, 293, 314 on our page.
3. How to find GCD of 395, 875, 293, 314 on a calculator?
You can find the GCD of 395, 875, 293, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.