GCD of 636, 159, 960 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 636, 159, 960 quickly. Get the easiest ways to solve the greatest common divisor of 636, 159, 960 i.e 3 in different methods as follows.
Given Input numbers are 636, 159, 960
In the factoring method, we have to find the divisors of all numbers
Divisors of 636 :
The positive integer divisors of 636 that completely divides 636 are.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Divisors of 159 :
The positive integer divisors of 159 that completely divides 159 are.
1, 3, 53, 159
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
GCD of numbers is the greatest common divisor
So, the GCD (636, 159, 960) = 3.
Given numbers are 636, 159, 960
The list of prime factors of all numbers are
Prime factors of 636 are 2 x 2 x 3 x 53
Prime factors of 159 are 3 x 53
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
The highest common occurrence is 31
Therefore, GCD of 636, 159, 960 is 3.
Steps to Calculate GCD of 636, 159, 960 using LCM Formula
Given numbers are 636, 159, 960
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(636, 159) = 636
GCD(636, 159) = ( 636 x 159 ) / 636
= 636 / 159
= 636
Step2:
LCM(159, 960) = 50880
GCD(159, 960) = ( 159 x 960 ) / 50880
= 159 / 960
= 159
So, Greatest Common Divisor of 636, 159, 960 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 636, 159, 960
Given numbers are 636, 159, 960
The greatest common divisor of numbers 636, 159, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 636, 159, 960 is 3.
FAQs on GCD of 636, 159, 960 Calculator
1. What is the GCD of 636, 159, 960?
GCD of given numbers 636, 159, 960 is 3
2. How to calculate the greatest common divisor of 636, 159, 960?
We can find the highest common divisor of 636, 159, 960 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 636, 159, 960 i.e 3.
3. How can I use the GCD of 636, 159, 960Calculator?
Out the numbers 636, 159, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.