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, 393, 42, 893 i.e. 1 largest integer that divides all the numbers equally.
GCD of 981, 393, 42, 893 is 1
GCD(981, 393, 42, 893) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 981, 393, 42, 893 is 1
GCD(981, 393, 42, 893) = 1
Given Input numbers are 981, 393, 42, 893
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 393
List of positive integer divisors of 393 that divides 393 without a remainder.
1, 3, 131, 393
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 893
List of positive integer divisors of 893 that divides 893 without a remainder.
1, 19, 47, 893
Greatest Common Divisior
We found the divisors of 981, 393, 42, 893 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 981, 393, 42, 893 is 1.
Therefore, GCD of numbers 981, 393, 42, 893 is 1
Given Input Data is 981, 393, 42, 893
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 393 is 3 x 131
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 893 is 19 x 47
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, 393) = 128511
GCD(981, 393) = ( 981 x 393 ) / 128511
GCD(981, 393) = 385533 / 128511
GCD(981, 393) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 42) = 42
GCD(3, 42) = ( 3 x 42 ) / 42
GCD(3, 42) = 126 / 42
GCD(3, 42) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 893
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 893) = 2679
GCD(3, 893) = ( 3 x 893 ) / 2679
GCD(3, 893) = 2679 / 2679
GCD(3, 893) = 1
GCD of 981, 393, 42, 893 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 981, 393, 42, 893?
GCD of 981, 393, 42, 893 is 1
2. Where do I get the detailed procedure to find GCD of 981, 393, 42, 893?
You can find a detailed procedure to find GCD of 981, 393, 42, 893 on our page.
3. How to find GCD of 981, 393, 42, 893 on a calculator?
You can find the GCD of 981, 393, 42, 893 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.