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 100, 996, 981, 811 i.e. 1 largest integer that divides all the numbers equally.
GCD of 100, 996, 981, 811 is 1
GCD(100, 996, 981, 811) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 100, 996, 981, 811 is 1
GCD(100, 996, 981, 811) = 1
Given Input numbers are 100, 996, 981, 811
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 100
List of positive integer divisors of 100 that divides 100 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100
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 981
List of positive integer divisors of 981 that divides 981 without a remainder.
1, 3, 9, 109, 327, 981
Divisors of 811
List of positive integer divisors of 811 that divides 811 without a remainder.
1, 811
Greatest Common Divisior
We found the divisors of 100, 996, 981, 811 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 996, 981, 811 is 1.
Therefore, GCD of numbers 100, 996, 981, 811 is 1
Given Input Data is 100, 996, 981, 811
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 100 is 2 x 2 x 5 x 5
Prime Factorization of 996 is 2 x 2 x 3 x 83
Prime Factorization of 981 is 3 x 3 x 109
Prime Factorization of 811 is 811
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(100, 996) = 24900
GCD(100, 996) = ( 100 x 996 ) / 24900
GCD(100, 996) = 99600 / 24900
GCD(100, 996) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 981
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 981) = 3924
GCD(4, 981) = ( 4 x 981 ) / 3924
GCD(4, 981) = 3924 / 3924
GCD(4, 981) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 811
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 811) = 811
GCD(1, 811) = ( 1 x 811 ) / 811
GCD(1, 811) = 811 / 811
GCD(1, 811) = 1
GCD of 100, 996, 981, 811 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 100, 996, 981, 811?
GCD of 100, 996, 981, 811 is 1
2. Where do I get the detailed procedure to find GCD of 100, 996, 981, 811?
You can find a detailed procedure to find GCD of 100, 996, 981, 811 on our page.
3. How to find GCD of 100, 996, 981, 811 on a calculator?
You can find the GCD of 100, 996, 981, 811 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.