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 981, 109, 894 i.e. 1 largest integer that divides all the numbers equally.
GCD of 981, 109, 894 is 1
GCD(981, 109, 894) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 981, 109, 894 is 1
GCD(981, 109, 894) = 1
Given Input numbers are 981, 109, 894
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 981
List of positive integer divisors of 981 that divides 981 without a remainder.
1, 3, 9, 109, 327, 981
Divisors of 109
List of positive integer divisors of 109 that divides 109 without a remainder.
1, 109
Divisors of 894
List of positive integer divisors of 894 that divides 894 without a remainder.
1, 2, 3, 6, 149, 298, 447, 894
Greatest Common Divisior
We found the divisors of 981, 109, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 981, 109, 894 is 1.
Therefore, GCD of numbers 981, 109, 894 is 1
Given Input Data is 981, 109, 894
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 981 is 3 x 3 x 109
Prime Factorization of 109 is 109
Prime Factorization of 894 is 2 x 3 x 149
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(981, 109) = 981
GCD(981, 109) = ( 981 x 109 ) / 981
GCD(981, 109) = 106929 / 981
GCD(981, 109) = 109
Step2:
Here we consider the GCD from the above i.e. 109 as first number and the next as 894
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(109, 894) = 97446
GCD(109, 894) = ( 109 x 894 ) / 97446
GCD(109, 894) = 97446 / 97446
GCD(109, 894) = 1
GCD of 981, 109, 894 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 981, 109, 894?
GCD of 981, 109, 894 is 1
2. Where do I get the detailed procedure to find GCD of 981, 109, 894?
You can find a detailed procedure to find GCD of 981, 109, 894 on our page.
3. How to find GCD of 981, 109, 894 on a calculator?
You can find the GCD of 981, 109, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.