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 865, 997, 143, 312 i.e. 1 largest integer that divides all the numbers equally.
GCD of 865, 997, 143, 312 is 1
GCD(865, 997, 143, 312) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 865, 997, 143, 312 is 1
GCD(865, 997, 143, 312) = 1
Given Input numbers are 865, 997, 143, 312
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 865
List of positive integer divisors of 865 that divides 865 without a remainder.
1, 5, 173, 865
Divisors of 997
List of positive integer divisors of 997 that divides 997 without a remainder.
1, 997
Divisors of 143
List of positive integer divisors of 143 that divides 143 without a remainder.
1, 11, 13, 143
Divisors of 312
List of positive integer divisors of 312 that divides 312 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Greatest Common Divisior
We found the divisors of 865, 997, 143, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 865, 997, 143, 312 is 1.
Therefore, GCD of numbers 865, 997, 143, 312 is 1
Given Input Data is 865, 997, 143, 312
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 865 is 5 x 173
Prime Factorization of 997 is 997
Prime Factorization of 143 is 11 x 13
Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13
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(865, 997) = 862405
GCD(865, 997) = ( 865 x 997 ) / 862405
GCD(865, 997) = 862405 / 862405
GCD(865, 997) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 143
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 143) = 143
GCD(1, 143) = ( 1 x 143 ) / 143
GCD(1, 143) = 143 / 143
GCD(1, 143) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 312
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 312) = 312
GCD(1, 312) = ( 1 x 312 ) / 312
GCD(1, 312) = 312 / 312
GCD(1, 312) = 1
GCD of 865, 997, 143, 312 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 865, 997, 143, 312?
GCD of 865, 997, 143, 312 is 1
2. Where do I get the detailed procedure to find GCD of 865, 997, 143, 312?
You can find a detailed procedure to find GCD of 865, 997, 143, 312 on our page.
3. How to find GCD of 865, 997, 143, 312 on a calculator?
You can find the GCD of 865, 997, 143, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.