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, 775, 852, 445 i.e. 1 largest integer that divides all the numbers equally.
GCD of 31, 775, 852, 445 is 1
GCD(31, 775, 852, 445) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 31, 775, 852, 445 is 1
GCD(31, 775, 852, 445) = 1
Given Input numbers are 31, 775, 852, 445
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 775
List of positive integer divisors of 775 that divides 775 without a remainder.
1, 5, 25, 31, 155, 775
Divisors of 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 445
List of positive integer divisors of 445 that divides 445 without a remainder.
1, 5, 89, 445
Greatest Common Divisior
We found the divisors of 31, 775, 852, 445 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 775, 852, 445 is 1.
Therefore, GCD of numbers 31, 775, 852, 445 is 1
Given Input Data is 31, 775, 852, 445
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 31 is 31
Prime Factorization of 775 is 5 x 5 x 31
Prime Factorization of 852 is 2 x 2 x 3 x 71
Prime Factorization of 445 is 5 x 89
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, 775) = 775
GCD(31, 775) = ( 31 x 775 ) / 775
GCD(31, 775) = 24025 / 775
GCD(31, 775) = 31
Step2:
Here we consider the GCD from the above i.e. 31 as first number and the next as 852
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(31, 852) = 26412
GCD(31, 852) = ( 31 x 852 ) / 26412
GCD(31, 852) = 26412 / 26412
GCD(31, 852) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 445
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 445) = 445
GCD(1, 445) = ( 1 x 445 ) / 445
GCD(1, 445) = 445 / 445
GCD(1, 445) = 1
GCD of 31, 775, 852, 445 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 31, 775, 852, 445?
GCD of 31, 775, 852, 445 is 1
2. Where do I get the detailed procedure to find GCD of 31, 775, 852, 445?
You can find a detailed procedure to find GCD of 31, 775, 852, 445 on our page.
3. How to find GCD of 31, 775, 852, 445 on a calculator?
You can find the GCD of 31, 775, 852, 445 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.