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 162, 777, 66, 983 i.e. 1 largest integer that divides all the numbers equally.
GCD of 162, 777, 66, 983 is 1
GCD(162, 777, 66, 983) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 162, 777, 66, 983 is 1
GCD(162, 777, 66, 983) = 1
Given Input numbers are 162, 777, 66, 983
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 162
List of positive integer divisors of 162 that divides 162 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 983
List of positive integer divisors of 983 that divides 983 without a remainder.
1, 983
Greatest Common Divisior
We found the divisors of 162, 777, 66, 983 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 162, 777, 66, 983 is 1.
Therefore, GCD of numbers 162, 777, 66, 983 is 1
Given Input Data is 162, 777, 66, 983
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3
Prime Factorization of 777 is 3 x 7 x 37
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 983 is 983
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(162, 777) = 41958
GCD(162, 777) = ( 162 x 777 ) / 41958
GCD(162, 777) = 125874 / 41958
GCD(162, 777) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 66) = 66
GCD(3, 66) = ( 3 x 66 ) / 66
GCD(3, 66) = 198 / 66
GCD(3, 66) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 983
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 983) = 2949
GCD(3, 983) = ( 3 x 983 ) / 2949
GCD(3, 983) = 2949 / 2949
GCD(3, 983) = 1
GCD of 162, 777, 66, 983 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 162, 777, 66, 983?
GCD of 162, 777, 66, 983 is 1
2. Where do I get the detailed procedure to find GCD of 162, 777, 66, 983?
You can find a detailed procedure to find GCD of 162, 777, 66, 983 on our page.
3. How to find GCD of 162, 777, 66, 983 on a calculator?
You can find the GCD of 162, 777, 66, 983 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.