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, 769, 48, 159 i.e. 1 largest integer that divides all the numbers equally.
GCD of 999, 769, 48, 159 is 1
GCD(999, 769, 48, 159) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 999, 769, 48, 159 is 1
GCD(999, 769, 48, 159) = 1
Given Input numbers are 999, 769, 48, 159
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 769
List of positive integer divisors of 769 that divides 769 without a remainder.
1, 769
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 159
List of positive integer divisors of 159 that divides 159 without a remainder.
1, 3, 53, 159
Greatest Common Divisior
We found the divisors of 999, 769, 48, 159 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 769, 48, 159 is 1.
Therefore, GCD of numbers 999, 769, 48, 159 is 1
Given Input Data is 999, 769, 48, 159
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 769 is 769
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 159 is 3 x 53
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, 769) = 768231
GCD(999, 769) = ( 999 x 769 ) / 768231
GCD(999, 769) = 768231 / 768231
GCD(999, 769) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 48) = 48
GCD(1, 48) = ( 1 x 48 ) / 48
GCD(1, 48) = 48 / 48
GCD(1, 48) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 159
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 159) = 159
GCD(1, 159) = ( 1 x 159 ) / 159
GCD(1, 159) = 159 / 159
GCD(1, 159) = 1
GCD of 999, 769, 48, 159 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 999, 769, 48, 159?
GCD of 999, 769, 48, 159 is 1
2. Where do I get the detailed procedure to find GCD of 999, 769, 48, 159?
You can find a detailed procedure to find GCD of 999, 769, 48, 159 on our page.
3. How to find GCD of 999, 769, 48, 159 on a calculator?
You can find the GCD of 999, 769, 48, 159 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.