Online GCD Calculator is useful to find the GCD of 214, 208, 332, 720 quickly. Get the easiest ways to solve the greatest common divisor of 214, 208, 332, 720 i.e 2 in different methods as follows.
Given Input numbers are 214, 208, 332, 720
In the factoring method, we have to find the divisors of all numbers
Divisors of 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
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 332 :
The positive integer divisors of 332 that completely divides 332 are.
1, 2, 4, 83, 166, 332
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
GCD of numbers is the greatest common divisor
So, the GCD (214, 208, 332, 720) = 2.
Given numbers are 214, 208, 332, 720
The list of prime factors of all numbers are
Prime factors of 214 are 2 x 107
Prime factors of 208 are 2 x 2 x 2 x 2 x 13
Prime factors of 332 are 2 x 2 x 83
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 214, 208, 332, 720 is 2.
Given numbers are 214, 208, 332, 720
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(214, 208) = 22256
GCD(214, 208) = ( 214 x 208 ) / 22256
= 214 / 208
= 214
Step2:
LCM(2, 332) = 332
GCD(2, 332) = ( 2 x 332 ) / 332
= 2 / 332
= 2
Step3:
LCM(2, 720) = 720
GCD(2, 720) = ( 2 x 720 ) / 720
= 2 / 720
= 2
So, Greatest Common Divisor of 214, 208, 332, 720 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 214, 208, 332, 720
The greatest common divisor of numbers 214, 208, 332, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 214, 208, 332, 720 is 2.
1. What is the GCD of 214, 208, 332, 720?
GCD of given numbers 214, 208, 332, 720 is 2
2. How to calculate the greatest common divisor of 214, 208, 332, 720?
We can find the highest common divisor of 214, 208, 332, 720 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 214, 208, 332, 720 i.e 2.
3. How can I use the GCD of 214, 208, 332, 720Calculator?
Out the numbers 214, 208, 332, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.