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 31, 863, 872, 265 i.e. 1 largest integer that divides all the numbers equally.
GCD of 31, 863, 872, 265 is 1
GCD(31, 863, 872, 265) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 31, 863, 872, 265 is 1
GCD(31, 863, 872, 265) = 1
Given Input numbers are 31, 863, 872, 265
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 863
List of positive integer divisors of 863 that divides 863 without a remainder.
1, 863
Divisors of 872
List of positive integer divisors of 872 that divides 872 without a remainder.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 265
List of positive integer divisors of 265 that divides 265 without a remainder.
1, 5, 53, 265
Greatest Common Divisior
We found the divisors of 31, 863, 872, 265 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 863, 872, 265 is 1.
Therefore, GCD of numbers 31, 863, 872, 265 is 1
Given Input Data is 31, 863, 872, 265
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 31 is 31
Prime Factorization of 863 is 863
Prime Factorization of 872 is 2 x 2 x 2 x 109
Prime Factorization of 265 is 5 x 53
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(31, 863) = 26753
GCD(31, 863) = ( 31 x 863 ) / 26753
GCD(31, 863) = 26753 / 26753
GCD(31, 863) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 872
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 872) = 872
GCD(1, 872) = ( 1 x 872 ) / 872
GCD(1, 872) = 872 / 872
GCD(1, 872) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 265
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 265) = 265
GCD(1, 265) = ( 1 x 265 ) / 265
GCD(1, 265) = 265 / 265
GCD(1, 265) = 1
GCD of 31, 863, 872, 265 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 31, 863, 872, 265?
GCD of 31, 863, 872, 265 is 1
2. Where do I get the detailed procedure to find GCD of 31, 863, 872, 265?
You can find a detailed procedure to find GCD of 31, 863, 872, 265 on our page.
3. How to find GCD of 31, 863, 872, 265 on a calculator?
You can find the GCD of 31, 863, 872, 265 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.