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 861, 933, 84, 989 i.e. 1 largest integer that divides all the numbers equally.
GCD of 861, 933, 84, 989 is 1
GCD(861, 933, 84, 989) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 861, 933, 84, 989 is 1
GCD(861, 933, 84, 989) = 1
Given Input numbers are 861, 933, 84, 989
To find the GCD of numbers using factoring list out all the divisors of each number
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 933
List of positive integer divisors of 933 that divides 933 without a remainder.
1, 3, 311, 933
Divisors of 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Divisors of 989
List of positive integer divisors of 989 that divides 989 without a remainder.
1, 23, 43, 989
Greatest Common Divisior
We found the divisors of 861, 933, 84, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 861, 933, 84, 989 is 1.
Therefore, GCD of numbers 861, 933, 84, 989 is 1
Given Input Data is 861, 933, 84, 989
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 861 is 3 x 7 x 41
Prime Factorization of 933 is 3 x 311
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 989 is 23 x 43
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(861, 933) = 267771
GCD(861, 933) = ( 861 x 933 ) / 267771
GCD(861, 933) = 803313 / 267771
GCD(861, 933) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 84
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 84) = 84
GCD(3, 84) = ( 3 x 84 ) / 84
GCD(3, 84) = 252 / 84
GCD(3, 84) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 989
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 989) = 2967
GCD(3, 989) = ( 3 x 989 ) / 2967
GCD(3, 989) = 2967 / 2967
GCD(3, 989) = 1
GCD of 861, 933, 84, 989 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 861, 933, 84, 989?
GCD of 861, 933, 84, 989 is 1
2. Where do I get the detailed procedure to find GCD of 861, 933, 84, 989?
You can find a detailed procedure to find GCD of 861, 933, 84, 989 on our page.
3. How to find GCD of 861, 933, 84, 989 on a calculator?
You can find the GCD of 861, 933, 84, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.