Online GCD Calculator is useful to find the GCD of 212, 428, 270, 288 quickly. Get the easiest ways to solve the greatest common divisor of 212, 428, 270, 288 i.e 2 in different methods as follows.
Given Input numbers are 212, 428, 270, 288
In the factoring method, we have to find the divisors of all numbers
Divisors of 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
GCD of numbers is the greatest common divisor
So, the GCD (212, 428, 270, 288) = 2.
Given numbers are 212, 428, 270, 288
The list of prime factors of all numbers are
Prime factors of 212 are 2 x 2 x 53
Prime factors of 428 are 2 x 2 x 107
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 212, 428, 270, 288 is 2.
Given numbers are 212, 428, 270, 288
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(212, 428) = 22684
GCD(212, 428) = ( 212 x 428 ) / 22684
= 212 / 428
= 212
Step2:
LCM(4, 270) = 540
GCD(4, 270) = ( 4 x 270 ) / 540
= 4 / 270
= 4
Step3:
LCM(2, 288) = 288
GCD(2, 288) = ( 2 x 288 ) / 288
= 2 / 288
= 2
So, Greatest Common Divisor of 212, 428, 270, 288 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 212, 428, 270, 288
The greatest common divisor of numbers 212, 428, 270, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 212, 428, 270, 288 is 2.
1. What is the GCD of 212, 428, 270, 288?
GCD of given numbers 212, 428, 270, 288 is 2
2. How to calculate the greatest common divisor of 212, 428, 270, 288?
We can find the highest common divisor of 212, 428, 270, 288 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 212, 428, 270, 288 i.e 2.
3. How can I use the GCD of 212, 428, 270, 288Calculator?
Out the numbers 212, 428, 270, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.