Online GCD Calculator is useful to find the GCD of 214, 312, 324, 420 quickly. Get the easiest ways to solve the greatest common divisor of 214, 312, 324, 420 i.e 2 in different methods as follows.
Given Input numbers are 214, 312, 324, 420
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 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 324 :
The positive integer divisors of 324 that completely divides 324 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
GCD of numbers is the greatest common divisor
So, the GCD (214, 312, 324, 420) = 2.
Given numbers are 214, 312, 324, 420
The list of prime factors of all numbers are
Prime factors of 214 are 2 x 107
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 214, 312, 324, 420 is 2.
Given numbers are 214, 312, 324, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(214, 312) = 33384
GCD(214, 312) = ( 214 x 312 ) / 33384
= 214 / 312
= 214
Step2:
LCM(2, 324) = 324
GCD(2, 324) = ( 2 x 324 ) / 324
= 2 / 324
= 2
Step3:
LCM(2, 420) = 420
GCD(2, 420) = ( 2 x 420 ) / 420
= 2 / 420
= 2
So, Greatest Common Divisor of 214, 312, 324, 420 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 214, 312, 324, 420
The greatest common divisor of numbers 214, 312, 324, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 214, 312, 324, 420 is 2.
1. What is the GCD of 214, 312, 324, 420?
GCD of given numbers 214, 312, 324, 420 is 2
2. How to calculate the greatest common divisor of 214, 312, 324, 420?
We can find the highest common divisor of 214, 312, 324, 420 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, 312, 324, 420 i.e 2.
3. How can I use the GCD of 214, 312, 324, 420Calculator?
Out the numbers 214, 312, 324, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.