Online GCD Calculator is useful to find the GCD of 864, 212, 427, 284 quickly. Get the easiest ways to solve the greatest common divisor of 864, 212, 427, 284 i.e 1 in different methods as follows.
Given Input numbers are 864, 212, 427, 284
In the factoring method, we have to find the divisors of all numbers
Divisors of 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
Divisors of 427 :
The positive integer divisors of 427 that completely divides 427 are.
1, 7, 61, 427
Divisors of 284 :
The positive integer divisors of 284 that completely divides 284 are.
1, 2, 4, 71, 142, 284
GCD of numbers is the greatest common divisor
So, the GCD (864, 212, 427, 284) = 1.
Given numbers are 864, 212, 427, 284
The list of prime factors of all numbers are
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 212 are 2 x 2 x 53
Prime factors of 427 are 7 x 61
Prime factors of 284 are 2 x 2 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 864, 212, 427, 284
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(864, 212) = 45792
GCD(864, 212) = ( 864 x 212 ) / 45792
= 864 / 212
= 864
Step2:
LCM(4, 427) = 1708
GCD(4, 427) = ( 4 x 427 ) / 1708
= 4 / 427
= 4
Step3:
LCM(1, 284) = 284
GCD(1, 284) = ( 1 x 284 ) / 284
= 1 / 284
= 1
So, Greatest Common Divisor of 864, 212, 427, 284 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 864, 212, 427, 284
The greatest common divisor of numbers 864, 212, 427, 284 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 212, 427, 284 is 1.
1. What is the GCD of 864, 212, 427, 284?
GCD of given numbers 864, 212, 427, 284 is 1
2. How to calculate the greatest common divisor of 864, 212, 427, 284?
We can find the highest common divisor of 864, 212, 427, 284 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 864, 212, 427, 284 i.e 1.
3. How can I use the GCD of 864, 212, 427, 284Calculator?
Out the numbers 864, 212, 427, 284 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.