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 999, 159, 80, 760 i.e. 1 largest integer that divides all the numbers equally.
GCD of 999, 159, 80, 760 is 1
GCD(999, 159, 80, 760) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 999, 159, 80, 760 is 1
GCD(999, 159, 80, 760) = 1
Given Input numbers are 999, 159, 80, 760
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 999
List of positive integer divisors of 999 that divides 999 without a remainder.
1, 3, 9, 27, 37, 111, 333, 999
Divisors of 159
List of positive integer divisors of 159 that divides 159 without a remainder.
1, 3, 53, 159
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Greatest Common Divisior
We found the divisors of 999, 159, 80, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 159, 80, 760 is 1.
Therefore, GCD of numbers 999, 159, 80, 760 is 1
Given Input Data is 999, 159, 80, 760
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 999 is 3 x 3 x 3 x 37
Prime Factorization of 159 is 3 x 53
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
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(999, 159) = 52947
GCD(999, 159) = ( 999 x 159 ) / 52947
GCD(999, 159) = 158841 / 52947
GCD(999, 159) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 80) = 240
GCD(3, 80) = ( 3 x 80 ) / 240
GCD(3, 80) = 240 / 240
GCD(3, 80) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 760
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 760) = 760
GCD(1, 760) = ( 1 x 760 ) / 760
GCD(1, 760) = 760 / 760
GCD(1, 760) = 1
GCD of 999, 159, 80, 760 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 999, 159, 80, 760?
GCD of 999, 159, 80, 760 is 1
2. Where do I get the detailed procedure to find GCD of 999, 159, 80, 760?
You can find a detailed procedure to find GCD of 999, 159, 80, 760 on our page.
3. How to find GCD of 999, 159, 80, 760 on a calculator?
You can find the GCD of 999, 159, 80, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.