GCD of 135, 960, 588 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 135, 960, 588 quickly. Get the easiest ways to solve the greatest common divisor of 135, 960, 588 i.e 3 in different methods as follows.
Given Input numbers are 135, 960, 588
In the factoring method, we have to find the divisors of all numbers
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
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
Divisors of 588 :
The positive integer divisors of 588 that completely divides 588 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
GCD of numbers is the greatest common divisor
So, the GCD (135, 960, 588) = 3.
Given numbers are 135, 960, 588
The list of prime factors of all numbers are
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
The highest common occurrence is 31
Therefore, GCD of 135, 960, 588 is 3.
Steps to Calculate GCD of 135, 960, 588 using LCM Formula
Given numbers are 135, 960, 588
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(135, 960) = 8640
GCD(135, 960) = ( 135 x 960 ) / 8640
= 135 / 960
= 135
Step2:
LCM(15, 588) = 2940
GCD(15, 588) = ( 15 x 588 ) / 2940
= 15 / 588
= 15
So, Greatest Common Divisor of 135, 960, 588 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 135, 960, 588
Given numbers are 135, 960, 588
The greatest common divisor of numbers 135, 960, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 960, 588 is 3.
FAQs on GCD of 135, 960, 588 Calculator
1. What is the GCD of 135, 960, 588?
GCD of given numbers 135, 960, 588 is 3
2. How to calculate the greatest common divisor of 135, 960, 588?
We can find the highest common divisor of 135, 960, 588 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 135, 960, 588 i.e 3.
3. How can I use the GCD of 135, 960, 588Calculator?
Out the numbers 135, 960, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.