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 159, 480, 270, 727 i.e. 1 largest integer that divides all the numbers equally.
GCD of 159, 480, 270, 727 is 1
GCD(159, 480, 270, 727) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 159, 480, 270, 727 is 1
GCD(159, 480, 270, 727) = 1
Given Input numbers are 159, 480, 270, 727
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 159
List of positive integer divisors of 159 that divides 159 without a remainder.
1, 3, 53, 159
Divisors of 480
List of positive integer divisors of 480 that divides 480 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 270
List of positive integer divisors of 270 that divides 270 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 727
List of positive integer divisors of 727 that divides 727 without a remainder.
1, 727
Greatest Common Divisior
We found the divisors of 159, 480, 270, 727 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 480, 270, 727 is 1.
Therefore, GCD of numbers 159, 480, 270, 727 is 1
Given Input Data is 159, 480, 270, 727
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 159 is 3 x 53
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5
Prime Factorization of 727 is 727
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(159, 480) = 25440
GCD(159, 480) = ( 159 x 480 ) / 25440
GCD(159, 480) = 76320 / 25440
GCD(159, 480) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 270
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 270) = 270
GCD(3, 270) = ( 3 x 270 ) / 270
GCD(3, 270) = 810 / 270
GCD(3, 270) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 727
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 727) = 2181
GCD(3, 727) = ( 3 x 727 ) / 2181
GCD(3, 727) = 2181 / 2181
GCD(3, 727) = 1
GCD of 159, 480, 270, 727 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 159, 480, 270, 727?
GCD of 159, 480, 270, 727 is 1
2. Where do I get the detailed procedure to find GCD of 159, 480, 270, 727?
You can find a detailed procedure to find GCD of 159, 480, 270, 727 on our page.
3. How to find GCD of 159, 480, 270, 727 on a calculator?
You can find the GCD of 159, 480, 270, 727 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.