GCD of 156, 504, 768 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 156, 504, 768 quickly. Get the easiest ways to solve the greatest common divisor of 156, 504, 768 i.e 12 in different methods as follows.
Given Input numbers are 156, 504, 768
In the factoring method, we have to find the divisors of all numbers
Divisors of 156 :
The positive integer divisors of 156 that completely divides 156 are.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Divisors of 504 :
The positive integer divisors of 504 that completely divides 504 are.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
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
GCD of numbers is the greatest common divisor
So, the GCD (156, 504, 768) = 12.
Given numbers are 156, 504, 768
The list of prime factors of all numbers are
Prime factors of 156 are 2 x 2 x 3 x 13
Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7
Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
The highest common occurrence is 22 x 31
Therefore, GCD of 156, 504, 768 is 12.
Steps to Calculate GCD of 156, 504, 768 using LCM Formula
Given numbers are 156, 504, 768
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(156, 504) = 6552
GCD(156, 504) = ( 156 x 504 ) / 6552
= 156 / 504
= 156
Step2:
LCM(12, 768) = 768
GCD(12, 768) = ( 12 x 768 ) / 768
= 12 / 768
= 12
So, Greatest Common Divisor of 156, 504, 768 is 12
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 156, 504, 768
Given numbers are 156, 504, 768
The greatest common divisor of numbers 156, 504, 768 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 156, 504, 768 is 12.
FAQs on GCD of 156, 504, 768 Calculator
1. What is the GCD of 156, 504, 768?
GCD of given numbers 156, 504, 768 is 12
2. How to calculate the greatest common divisor of 156, 504, 768?
We can find the highest common divisor of 156, 504, 768 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 156, 504, 768 i.e 12.
3. How can I use the GCD of 156, 504, 768Calculator?
Out the numbers 156, 504, 768 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.