Online GCD Calculator is useful to find the GCD of 585, 948, 677, 864 quickly. Get the easiest ways to solve the greatest common divisor of 585, 948, 677, 864 i.e 1 in different methods as follows.
Given Input numbers are 585, 948, 677, 864
In the factoring method, we have to find the divisors of all numbers
Divisors of 585 :
The positive integer divisors of 585 that completely divides 585 are.
1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
Divisors of 948 :
The positive integer divisors of 948 that completely divides 948 are.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 677 :
The positive integer divisors of 677 that completely divides 677 are.
1, 677
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 (585, 948, 677, 864) = 1.
Given numbers are 585, 948, 677, 864
The list of prime factors of all numbers are
Prime factors of 585 are 3 x 3 x 5 x 13
Prime factors of 948 are 2 x 2 x 3 x 79
Prime factors of 677 are 677
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 585, 948, 677, 864
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(585, 948) = 184860
GCD(585, 948) = ( 585 x 948 ) / 184860
= 585 / 948
= 585
Step2:
LCM(3, 677) = 2031
GCD(3, 677) = ( 3 x 677 ) / 2031
= 3 / 677
= 3
Step3:
LCM(1, 864) = 864
GCD(1, 864) = ( 1 x 864 ) / 864
= 1 / 864
= 1
So, Greatest Common Divisor of 585, 948, 677, 864 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 585, 948, 677, 864
The greatest common divisor of numbers 585, 948, 677, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 948, 677, 864 is 1.
1. What is the GCD of 585, 948, 677, 864?
GCD of given numbers 585, 948, 677, 864 is 1
2. How to calculate the greatest common divisor of 585, 948, 677, 864?
We can find the highest common divisor of 585, 948, 677, 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 585, 948, 677, 864 i.e 1.
3. How can I use the GCD of 585, 948, 677, 864Calculator?
Out the numbers 585, 948, 677, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.