Online GCD Calculator is useful to find the GCD of 216, 668, 724, 438 quickly. Get the easiest ways to solve the greatest common divisor of 216, 668, 724, 438 i.e 2 in different methods as follows.
Given Input numbers are 216, 668, 724, 438
In the factoring method, we have to find the divisors of all numbers
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 668 :
The positive integer divisors of 668 that completely divides 668 are.
1, 2, 4, 167, 334, 668
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
GCD of numbers is the greatest common divisor
So, the GCD (216, 668, 724, 438) = 2.
Given numbers are 216, 668, 724, 438
The list of prime factors of all numbers are
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 668 are 2 x 2 x 167
Prime factors of 724 are 2 x 2 x 181
Prime factors of 438 are 2 x 3 x 73
The highest common occurrence is 21
Therefore, GCD of 216, 668, 724, 438 is 2.
Given numbers are 216, 668, 724, 438
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(216, 668) = 36072
GCD(216, 668) = ( 216 x 668 ) / 36072
= 216 / 668
= 216
Step2:
LCM(4, 724) = 724
GCD(4, 724) = ( 4 x 724 ) / 724
= 4 / 724
= 4
Step3:
LCM(4, 438) = 876
GCD(4, 438) = ( 4 x 438 ) / 876
= 4 / 438
= 4
So, Greatest Common Divisor of 216, 668, 724, 438 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 216, 668, 724, 438
The greatest common divisor of numbers 216, 668, 724, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 668, 724, 438 is 2.
1. What is the GCD of 216, 668, 724, 438?
GCD of given numbers 216, 668, 724, 438 is 2
2. How to calculate the greatest common divisor of 216, 668, 724, 438?
We can find the highest common divisor of 216, 668, 724, 438 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 216, 668, 724, 438 i.e 2.
3. How can I use the GCD of 216, 668, 724, 438Calculator?
Out the numbers 216, 668, 724, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.