Online GCD Calculator is useful to find the GCD of 144, 378, 212 quickly. Get the easiest ways to solve the greatest common divisor of 144, 378, 212 i.e 2 in different methods as follows.
Given Input numbers are 144, 378, 212
In the factoring method, we have to find the divisors of all numbers
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 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
GCD of numbers is the greatest common divisor
So, the GCD (144, 378, 212) = 2.
Given numbers are 144, 378, 212
The list of prime factors of all numbers are
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 212 are 2 x 2 x 53
The highest common occurrence is 21
Therefore, GCD of 144, 378, 212 is 2.
Given numbers are 144, 378, 212
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(144, 378) = 3024
GCD(144, 378) = ( 144 x 378 ) / 3024
= 144 / 378
= 144
Step2:
LCM(18, 212) = 1908
GCD(18, 212) = ( 18 x 212 ) / 1908
= 18 / 212
= 18
So, Greatest Common Divisor of 144, 378, 212 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 144, 378, 212
The greatest common divisor of numbers 144, 378, 212 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 378, 212 is 2.
1. What is the GCD of 144, 378, 212?
GCD of given numbers 144, 378, 212 is 2
2. How to calculate the greatest common divisor of 144, 378, 212?
We can find the highest common divisor of 144, 378, 212 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 144, 378, 212 i.e 2.
3. How can I use the GCD of 144, 378, 212Calculator?
Out the numbers 144, 378, 212 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.