Online GCD Calculator is useful to find the GCD of 324, 612, 135, 212 quickly. Get the easiest ways to solve the greatest common divisor of 324, 612, 135, 212 i.e 1 in different methods as follows.
Given Input numbers are 324, 612, 135, 212
In the factoring method, we have to find the divisors of all numbers
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 612 :
The positive integer divisors of 612 that completely divides 612 are.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
GCD of numbers is the greatest common divisor
So, the GCD (324, 612, 135, 212) = 1.
Given numbers are 324, 612, 135, 212
The list of prime factors of all numbers are
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 612 are 2 x 2 x 3 x 3 x 17
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 212 are 2 x 2 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 324, 612, 135, 212
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(324, 612) = 5508
GCD(324, 612) = ( 324 x 612 ) / 5508
= 324 / 612
= 324
Step2:
LCM(36, 135) = 540
GCD(36, 135) = ( 36 x 135 ) / 540
= 36 / 135
= 36
Step3:
LCM(9, 212) = 1908
GCD(9, 212) = ( 9 x 212 ) / 1908
= 9 / 212
= 9
So, Greatest Common Divisor of 324, 612, 135, 212 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 324, 612, 135, 212
The greatest common divisor of numbers 324, 612, 135, 212 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 324, 612, 135, 212 is 1.
1. What is the GCD of 324, 612, 135, 212?
GCD of given numbers 324, 612, 135, 212 is 1
2. How to calculate the greatest common divisor of 324, 612, 135, 212?
We can find the highest common divisor of 324, 612, 135, 212 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 324, 612, 135, 212 i.e 1.
3. How can I use the GCD of 324, 612, 135, 212Calculator?
Out the numbers 324, 612, 135, 212 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.