GCD of 768, 180, 456 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 768, 180, 456 quickly. Get the easiest ways to solve the greatest common divisor of 768, 180, 456 i.e 12 in different methods as follows.
Given Input numbers are 768, 180, 456
In the factoring method, we have to find the divisors of all numbers
Divisors of 768 :
The positive integer divisors of 768 that completely divides 768 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
GCD of numbers is the greatest common divisor
So, the GCD (768, 180, 456) = 12.
Given numbers are 768, 180, 456
The list of prime factors of all numbers are
Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
The highest common occurrence is 22 x 31
Therefore, GCD of 768, 180, 456 is 12.
Steps to Calculate GCD of 768, 180, 456 using LCM Formula
Given numbers are 768, 180, 456
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(768, 180) = 11520
GCD(768, 180) = ( 768 x 180 ) / 11520
= 768 / 180
= 768
Step2:
LCM(12, 456) = 456
GCD(12, 456) = ( 12 x 456 ) / 456
= 12 / 456
= 12
So, Greatest Common Divisor of 768, 180, 456 is 12
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 768, 180, 456
Given numbers are 768, 180, 456
The greatest common divisor of numbers 768, 180, 456 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 180, 456 is 12.
FAQs on GCD of 768, 180, 456 Calculator
1. What is the GCD of 768, 180, 456?
GCD of given numbers 768, 180, 456 is 12
2. How to calculate the greatest common divisor of 768, 180, 456?
We can find the highest common divisor of 768, 180, 456 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 768, 180, 456 i.e 12.
3. How can I use the GCD of 768, 180, 456Calculator?
Out the numbers 768, 180, 456 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.