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, 660, 54, 170 i.e. 1 largest integer that divides all the numbers equally.
GCD of 159, 660, 54, 170 is 1
GCD(159, 660, 54, 170) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 159, 660, 54, 170 is 1
GCD(159, 660, 54, 170) = 1
Given Input numbers are 159, 660, 54, 170
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 660
List of positive integer divisors of 660 that divides 660 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 54
List of positive integer divisors of 54 that divides 54 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54
Divisors of 170
List of positive integer divisors of 170 that divides 170 without a remainder.
1, 2, 5, 10, 17, 34, 85, 170
Greatest Common Divisior
We found the divisors of 159, 660, 54, 170 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 660, 54, 170 is 1.
Therefore, GCD of numbers 159, 660, 54, 170 is 1
Given Input Data is 159, 660, 54, 170
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 159 is 3 x 53
Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11
Prime Factorization of 54 is 2 x 3 x 3 x 3
Prime Factorization of 170 is 2 x 5 x 17
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, 660) = 34980
GCD(159, 660) = ( 159 x 660 ) / 34980
GCD(159, 660) = 104940 / 34980
GCD(159, 660) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 54
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 54) = 54
GCD(3, 54) = ( 3 x 54 ) / 54
GCD(3, 54) = 162 / 54
GCD(3, 54) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 170
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 170) = 510
GCD(3, 170) = ( 3 x 170 ) / 510
GCD(3, 170) = 510 / 510
GCD(3, 170) = 1
GCD of 159, 660, 54, 170 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 159, 660, 54, 170?
GCD of 159, 660, 54, 170 is 1
2. Where do I get the detailed procedure to find GCD of 159, 660, 54, 170?
You can find a detailed procedure to find GCD of 159, 660, 54, 170 on our page.
3. How to find GCD of 159, 660, 54, 170 on a calculator?
You can find the GCD of 159, 660, 54, 170 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.