Online GCD Calculator is useful to find the GCD of 438, 280, 208, 216 quickly. Get the easiest ways to solve the greatest common divisor of 438, 280, 208, 216 i.e 2 in different methods as follows.
Given Input numbers are 438, 280, 208, 216
In the factoring method, we have to find the divisors of all numbers
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 280 :
The positive integer divisors of 280 that completely divides 280 are.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 208 :
The positive integer divisors of 208 that completely divides 208 are.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
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
GCD of numbers is the greatest common divisor
So, the GCD (438, 280, 208, 216) = 2.
Given numbers are 438, 280, 208, 216
The list of prime factors of all numbers are
Prime factors of 438 are 2 x 3 x 73
Prime factors of 280 are 2 x 2 x 2 x 5 x 7
Prime factors of 208 are 2 x 2 x 2 x 2 x 13
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 438, 280, 208, 216 is 2.
Given numbers are 438, 280, 208, 216
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(438, 280) = 61320
GCD(438, 280) = ( 438 x 280 ) / 61320
= 438 / 280
= 438
Step2:
LCM(2, 208) = 208
GCD(2, 208) = ( 2 x 208 ) / 208
= 2 / 208
= 2
Step3:
LCM(2, 216) = 216
GCD(2, 216) = ( 2 x 216 ) / 216
= 2 / 216
= 2
So, Greatest Common Divisor of 438, 280, 208, 216 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 438, 280, 208, 216
The greatest common divisor of numbers 438, 280, 208, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 280, 208, 216 is 2.
1. What is the GCD of 438, 280, 208, 216?
GCD of given numbers 438, 280, 208, 216 is 2
2. How to calculate the greatest common divisor of 438, 280, 208, 216?
We can find the highest common divisor of 438, 280, 208, 216 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 438, 280, 208, 216 i.e 2.
3. How can I use the GCD of 438, 280, 208, 216Calculator?
Out the numbers 438, 280, 208, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.