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 940, 861, 998, 981 i.e. 1 largest integer that divides all the numbers equally.
GCD of 940, 861, 998, 981 is 1
GCD(940, 861, 998, 981) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 940, 861, 998, 981 is 1
GCD(940, 861, 998, 981) = 1
Given Input numbers are 940, 861, 998, 981
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 940
List of positive integer divisors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 861
List of positive integer divisors of 861 that divides 861 without a remainder.
1, 3, 7, 21, 41, 123, 287, 861
Divisors of 998
List of positive integer divisors of 998 that divides 998 without a remainder.
1, 2, 499, 998
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 940, 861, 998, 981 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 861, 998, 981 is 1.
Therefore, GCD of numbers 940, 861, 998, 981 is 1
Given Input Data is 940, 861, 998, 981
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 940 is 2 x 2 x 5 x 47
Prime Factorization of 861 is 3 x 7 x 41
Prime Factorization of 998 is 2 x 499
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(940, 861) = 809340
GCD(940, 861) = ( 940 x 861 ) / 809340
GCD(940, 861) = 809340 / 809340
GCD(940, 861) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 998
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 998) = 998
GCD(1, 998) = ( 1 x 998 ) / 998
GCD(1, 998) = 998 / 998
GCD(1, 998) = 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 940, 861, 998, 981 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 940, 861, 998, 981?
GCD of 940, 861, 998, 981 is 1
2. Where do I get the detailed procedure to find GCD of 940, 861, 998, 981?
You can find a detailed procedure to find GCD of 940, 861, 998, 981 on our page.
3. How to find GCD of 940, 861, 998, 981 on a calculator?
You can find the GCD of 940, 861, 998, 981 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.