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 905, 996, 82, 436 i.e. 1 largest integer that divides all the numbers equally.
GCD of 905, 996, 82, 436 is 1
GCD(905, 996, 82, 436) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 905, 996, 82, 436 is 1
GCD(905, 996, 82, 436) = 1
Given Input numbers are 905, 996, 82, 436
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 905
List of positive integer divisors of 905 that divides 905 without a remainder.
1, 5, 181, 905
Divisors of 996
List of positive integer divisors of 996 that divides 996 without a remainder.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 436
List of positive integer divisors of 436 that divides 436 without a remainder.
1, 2, 4, 109, 218, 436
Greatest Common Divisior
We found the divisors of 905, 996, 82, 436 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 905, 996, 82, 436 is 1.
Therefore, GCD of numbers 905, 996, 82, 436 is 1
Given Input Data is 905, 996, 82, 436
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 905 is 5 x 181
Prime Factorization of 996 is 2 x 2 x 3 x 83
Prime Factorization of 82 is 2 x 41
Prime Factorization of 436 is 2 x 2 x 109
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(905, 996) = 901380
GCD(905, 996) = ( 905 x 996 ) / 901380
GCD(905, 996) = 901380 / 901380
GCD(905, 996) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 82
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 82) = 82
GCD(1, 82) = ( 1 x 82 ) / 82
GCD(1, 82) = 82 / 82
GCD(1, 82) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 436
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 436) = 436
GCD(1, 436) = ( 1 x 436 ) / 436
GCD(1, 436) = 436 / 436
GCD(1, 436) = 1
GCD of 905, 996, 82, 436 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 905, 996, 82, 436?
GCD of 905, 996, 82, 436 is 1
2. Where do I get the detailed procedure to find GCD of 905, 996, 82, 436?
You can find a detailed procedure to find GCD of 905, 996, 82, 436 on our page.
3. How to find GCD of 905, 996, 82, 436 on a calculator?
You can find the GCD of 905, 996, 82, 436 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.