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 110, 455, 21, 981 i.e. 1 largest integer that divides all the numbers equally.
GCD of 110, 455, 21, 981 is 1
GCD(110, 455, 21, 981) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 110, 455, 21, 981 is 1
GCD(110, 455, 21, 981) = 1
Given Input numbers are 110, 455, 21, 981
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 110
List of positive integer divisors of 110 that divides 110 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110
Divisors of 455
List of positive integer divisors of 455 that divides 455 without a remainder.
1, 5, 7, 13, 35, 65, 91, 455
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 981
List of positive integer divisors of 981 that divides 981 without a remainder.
1, 3, 9, 109, 327, 981
Greatest Common Divisior
We found the divisors of 110, 455, 21, 981 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 110, 455, 21, 981 is 1.
Therefore, GCD of numbers 110, 455, 21, 981 is 1
Given Input Data is 110, 455, 21, 981
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 110 is 2 x 5 x 11
Prime Factorization of 455 is 5 x 7 x 13
Prime Factorization of 21 is 3 x 7
Prime Factorization of 981 is 3 x 3 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(110, 455) = 10010
GCD(110, 455) = ( 110 x 455 ) / 10010
GCD(110, 455) = 50050 / 10010
GCD(110, 455) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 21) = 105
GCD(5, 21) = ( 5 x 21 ) / 105
GCD(5, 21) = 105 / 105
GCD(5, 21) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 981
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 981) = 981
GCD(1, 981) = ( 1 x 981 ) / 981
GCD(1, 981) = 981 / 981
GCD(1, 981) = 1
GCD of 110, 455, 21, 981 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 110, 455, 21, 981?
GCD of 110, 455, 21, 981 is 1
2. Where do I get the detailed procedure to find GCD of 110, 455, 21, 981?
You can find a detailed procedure to find GCD of 110, 455, 21, 981 on our page.
3. How to find GCD of 110, 455, 21, 981 on a calculator?
You can find the GCD of 110, 455, 21, 981 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.