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 996, 841, 99 i.e. 1 largest integer that divides all the numbers equally.
GCD of 996, 841, 99 is 1
GCD(996, 841, 99) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 996, 841, 99 is 1
GCD(996, 841, 99) = 1
Given Input numbers are 996, 841, 99
To find the GCD of numbers using factoring list out all the divisors of each number
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 841
List of positive integer divisors of 841 that divides 841 without a remainder.
1, 29, 841
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Greatest Common Divisior
We found the divisors of 996, 841, 99 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 841, 99 is 1.
Therefore, GCD of numbers 996, 841, 99 is 1
Given Input Data is 996, 841, 99
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 996 is 2 x 2 x 3 x 83
Prime Factorization of 841 is 29 x 29
Prime Factorization of 99 is 3 x 3 x 11
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(996, 841) = 837636
GCD(996, 841) = ( 996 x 841 ) / 837636
GCD(996, 841) = 837636 / 837636
GCD(996, 841) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 99) = 99
GCD(1, 99) = ( 1 x 99 ) / 99
GCD(1, 99) = 99 / 99
GCD(1, 99) = 1
GCD of 996, 841, 99 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 996, 841, 99?
GCD of 996, 841, 99 is 1
2. Where do I get the detailed procedure to find GCD of 996, 841, 99?
You can find a detailed procedure to find GCD of 996, 841, 99 on our page.
3. How to find GCD of 996, 841, 99 on a calculator?
You can find the GCD of 996, 841, 99 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.