GCD of 756, 384, 144 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 756, 384, 144 quickly. Get the easiest ways to solve the greatest common divisor of 756, 384, 144 i.e 12 in different methods as follows.
Given Input numbers are 756, 384, 144
In the factoring method, we have to find the divisors of all numbers
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
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
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
GCD of numbers is the greatest common divisor
So, the GCD (756, 384, 144) = 12.
Given numbers are 756, 384, 144
The list of prime factors of all numbers are
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
The highest common occurrence is 22 x 31
Therefore, GCD of 756, 384, 144 is 12.
Steps to Calculate GCD of 756, 384, 144 using LCM Formula
Given numbers are 756, 384, 144
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(756, 384) = 24192
GCD(756, 384) = ( 756 x 384 ) / 24192
= 756 / 384
= 756
Step2:
LCM(12, 144) = 144
GCD(12, 144) = ( 12 x 144 ) / 144
= 12 / 144
= 12
So, Greatest Common Divisor of 756, 384, 144 is 12
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 756, 384, 144
Given numbers are 756, 384, 144
The greatest common divisor of numbers 756, 384, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 384, 144 is 12.
FAQs on GCD of 756, 384, 144 Calculator
1. What is the GCD of 756, 384, 144?
GCD of given numbers 756, 384, 144 is 12
2. How to calculate the greatest common divisor of 756, 384, 144?
We can find the highest common divisor of 756, 384, 144 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 756, 384, 144 i.e 12.
3. How can I use the GCD of 756, 384, 144Calculator?
Out the numbers 756, 384, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.