Online GCD Calculator is useful to find the GCD of 284, 854, 135, 864 quickly. Get the easiest ways to solve the greatest common divisor of 284, 854, 135, 864 i.e 1 in different methods as follows.
Given Input numbers are 284, 854, 135, 864
In the factoring method, we have to find the divisors of all numbers
Divisors of 284 :
The positive integer divisors of 284 that completely divides 284 are.
1, 2, 4, 71, 142, 284
Divisors of 854 :
The positive integer divisors of 854 that completely divides 854 are.
1, 2, 7, 14, 61, 122, 427, 854
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
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
GCD of numbers is the greatest common divisor
So, the GCD (284, 854, 135, 864) = 1.
Given numbers are 284, 854, 135, 864
The list of prime factors of all numbers are
Prime factors of 284 are 2 x 2 x 71
Prime factors of 854 are 2 x 7 x 61
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 284, 854, 135, 864
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(284, 854) = 121268
GCD(284, 854) = ( 284 x 854 ) / 121268
= 284 / 854
= 284
Step2:
LCM(2, 135) = 270
GCD(2, 135) = ( 2 x 135 ) / 270
= 2 / 135
= 2
Step3:
LCM(1, 864) = 864
GCD(1, 864) = ( 1 x 864 ) / 864
= 1 / 864
= 1
So, Greatest Common Divisor of 284, 854, 135, 864 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 284, 854, 135, 864
The greatest common divisor of numbers 284, 854, 135, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 284, 854, 135, 864 is 1.
1. What is the GCD of 284, 854, 135, 864?
GCD of given numbers 284, 854, 135, 864 is 1
2. How to calculate the greatest common divisor of 284, 854, 135, 864?
We can find the highest common divisor of 284, 854, 135, 864 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 284, 854, 135, 864 i.e 1.
3. How can I use the GCD of 284, 854, 135, 864Calculator?
Out the numbers 284, 854, 135, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.