Online GCD Calculator is useful to find the GCD of 236, 584, 214, 288 quickly. Get the easiest ways to solve the greatest common divisor of 236, 584, 214, 288 i.e 2 in different methods as follows.
Given Input numbers are 236, 584, 214, 288
In the factoring method, we have to find the divisors of all numbers
Divisors of 236 :
The positive integer divisors of 236 that completely divides 236 are.
1, 2, 4, 59, 118, 236
Divisors of 584 :
The positive integer divisors of 584 that completely divides 584 are.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
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 (236, 584, 214, 288) = 2.
Given numbers are 236, 584, 214, 288
The list of prime factors of all numbers are
Prime factors of 236 are 2 x 2 x 59
Prime factors of 584 are 2 x 2 x 2 x 73
Prime factors of 214 are 2 x 107
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 236, 584, 214, 288 is 2.
Given numbers are 236, 584, 214, 288
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(236, 584) = 34456
GCD(236, 584) = ( 236 x 584 ) / 34456
= 236 / 584
= 236
Step2:
LCM(4, 214) = 428
GCD(4, 214) = ( 4 x 214 ) / 428
= 4 / 214
= 4
Step3:
LCM(2, 288) = 288
GCD(2, 288) = ( 2 x 288 ) / 288
= 2 / 288
= 2
So, Greatest Common Divisor of 236, 584, 214, 288 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 236, 584, 214, 288
The greatest common divisor of numbers 236, 584, 214, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 236, 584, 214, 288 is 2.
1. What is the GCD of 236, 584, 214, 288?
GCD of given numbers 236, 584, 214, 288 is 2
2. How to calculate the greatest common divisor of 236, 584, 214, 288?
We can find the highest common divisor of 236, 584, 214, 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 236, 584, 214, 288 i.e 2.
3. How can I use the GCD of 236, 584, 214, 288Calculator?
Out the numbers 236, 584, 214, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.