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 836, 728, 81, 431 i.e. 1 largest integer that divides all the numbers equally.
GCD of 836, 728, 81, 431 is 1
GCD(836, 728, 81, 431) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 836, 728, 81, 431 is 1
GCD(836, 728, 81, 431) = 1
Given Input numbers are 836, 728, 81, 431
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 836
List of positive integer divisors of 836 that divides 836 without a remainder.
1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
Divisors of 728
List of positive integer divisors of 728 that divides 728 without a remainder.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Divisors of 431
List of positive integer divisors of 431 that divides 431 without a remainder.
1, 431
Greatest Common Divisior
We found the divisors of 836, 728, 81, 431 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 836, 728, 81, 431 is 1.
Therefore, GCD of numbers 836, 728, 81, 431 is 1
Given Input Data is 836, 728, 81, 431
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 836 is 2 x 2 x 11 x 19
Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 431 is 431
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(836, 728) = 152152
GCD(836, 728) = ( 836 x 728 ) / 152152
GCD(836, 728) = 608608 / 152152
GCD(836, 728) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 81
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 81) = 324
GCD(4, 81) = ( 4 x 81 ) / 324
GCD(4, 81) = 324 / 324
GCD(4, 81) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 431
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 431) = 431
GCD(1, 431) = ( 1 x 431 ) / 431
GCD(1, 431) = 431 / 431
GCD(1, 431) = 1
GCD of 836, 728, 81, 431 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 836, 728, 81, 431?
GCD of 836, 728, 81, 431 is 1
2. Where do I get the detailed procedure to find GCD of 836, 728, 81, 431?
You can find a detailed procedure to find GCD of 836, 728, 81, 431 on our page.
3. How to find GCD of 836, 728, 81, 431 on a calculator?
You can find the GCD of 836, 728, 81, 431 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.