Online GCD Calculator is useful to find the GCD of 156, 144, 456 quickly. Get the easiest ways to solve the greatest common divisor of 156, 144, 456 i.e 12 in different methods as follows.
Given Input numbers are 156, 144, 456
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 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
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 (156, 144, 456) = 12.
Given numbers are 156, 144, 456
The list of prime factors of all numbers are
Prime factors of 156 are 2 x 2 x 3 x 13
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
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 156, 144, 456 is 12.
Given numbers are 156, 144, 456
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(156, 144) = 1872
GCD(156, 144) = ( 156 x 144 ) / 1872
= 156 / 144
= 156
Step2:
LCM(12, 456) = 456
GCD(12, 456) = ( 12 x 456 ) / 456
= 12 / 456
= 12
So, Greatest Common Divisor of 156, 144, 456 is 12
Here are some samples of GCD of Numbers calculations.
Given numbers are 156, 144, 456
The greatest common divisor of numbers 156, 144, 456 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 156, 144, 456 is 12.
1. What is the GCD of 156, 144, 456?
GCD of given numbers 156, 144, 456 is 12
2. How to calculate the greatest common divisor of 156, 144, 456?
We can find the highest common divisor of 156, 144, 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 156, 144, 456 i.e 12.
3. How can I use the GCD of 156, 144, 456Calculator?
Out the numbers 156, 144, 456 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.