GCD of 135, 759, 384 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 135, 759, 384 quickly. Get the easiest ways to solve the greatest common divisor of 135, 759, 384 i.e 3 in different methods as follows.
Given Input numbers are 135, 759, 384
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 759 :
The positive integer divisors of 759 that completely divides 759 are.
1, 3, 11, 23, 33, 69, 253, 759
Divisors of 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
GCD of numbers is the greatest common divisor
So, the GCD (135, 759, 384) = 3.
Given numbers are 135, 759, 384
The list of prime factors of all numbers are
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 759 are 3 x 11 x 23
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
The highest common occurrence is 31
Therefore, GCD of 135, 759, 384 is 3.
Steps to Calculate GCD of 135, 759, 384 using LCM Formula
Given numbers are 135, 759, 384
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(135, 759) = 34155
GCD(135, 759) = ( 135 x 759 ) / 34155
= 135 / 759
= 135
Step2:
LCM(3, 384) = 384
GCD(3, 384) = ( 3 x 384 ) / 384
= 3 / 384
= 3
So, Greatest Common Divisor of 135, 759, 384 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 135, 759, 384
Given numbers are 135, 759, 384
The greatest common divisor of numbers 135, 759, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 759, 384 is 3.
FAQs on GCD of 135, 759, 384 Calculator
1. What is the GCD of 135, 759, 384?
GCD of given numbers 135, 759, 384 is 3
2. How to calculate the greatest common divisor of 135, 759, 384?
We can find the highest common divisor of 135, 759, 384 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, 759, 384 i.e 3.
3. How can I use the GCD of 135, 759, 384Calculator?
Out the numbers 135, 759, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.