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, 862, 40, 199 i.e. 1 largest integer that divides all the numbers equally.
GCD of 981, 862, 40, 199 is 1
GCD(981, 862, 40, 199) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 981, 862, 40, 199 is 1
GCD(981, 862, 40, 199) = 1
Given Input numbers are 981, 862, 40, 199
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 862
List of positive integer divisors of 862 that divides 862 without a remainder.
1, 2, 431, 862
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 199
List of positive integer divisors of 199 that divides 199 without a remainder.
1, 199
Greatest Common Divisior
We found the divisors of 981, 862, 40, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 981, 862, 40, 199 is 1.
Therefore, GCD of numbers 981, 862, 40, 199 is 1
Given Input Data is 981, 862, 40, 199
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 862 is 2 x 431
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 199 is 199
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, 862) = 845622
GCD(981, 862) = ( 981 x 862 ) / 845622
GCD(981, 862) = 845622 / 845622
GCD(981, 862) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 40) = 40
GCD(1, 40) = ( 1 x 40 ) / 40
GCD(1, 40) = 40 / 40
GCD(1, 40) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 199
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 199) = 199
GCD(1, 199) = ( 1 x 199 ) / 199
GCD(1, 199) = 199 / 199
GCD(1, 199) = 1
GCD of 981, 862, 40, 199 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 981, 862, 40, 199?
GCD of 981, 862, 40, 199 is 1
2. Where do I get the detailed procedure to find GCD of 981, 862, 40, 199?
You can find a detailed procedure to find GCD of 981, 862, 40, 199 on our page.
3. How to find GCD of 981, 862, 40, 199 on a calculator?
You can find the GCD of 981, 862, 40, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.