Online GCD Calculator is useful to find the GCD of 976, 814, 559, 864 quickly. Get the easiest ways to solve the greatest common divisor of 976, 814, 559, 864 i.e 1 in different methods as follows.
Given Input numbers are 976, 814, 559, 864
In the factoring method, we have to find the divisors of all numbers
Divisors of 976 :
The positive integer divisors of 976 that completely divides 976 are.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 559 :
The positive integer divisors of 559 that completely divides 559 are.
1, 13, 43, 559
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 (976, 814, 559, 864) = 1.
Given numbers are 976, 814, 559, 864
The list of prime factors of all numbers are
Prime factors of 976 are 2 x 2 x 2 x 2 x 61
Prime factors of 814 are 2 x 11 x 37
Prime factors of 559 are 13 x 43
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 976, 814, 559, 864
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(976, 814) = 397232
GCD(976, 814) = ( 976 x 814 ) / 397232
= 976 / 814
= 976
Step2:
LCM(2, 559) = 1118
GCD(2, 559) = ( 2 x 559 ) / 1118
= 2 / 559
= 2
Step3:
LCM(1, 864) = 864
GCD(1, 864) = ( 1 x 864 ) / 864
= 1 / 864
= 1
So, Greatest Common Divisor of 976, 814, 559, 864 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 976, 814, 559, 864
The greatest common divisor of numbers 976, 814, 559, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 976, 814, 559, 864 is 1.
1. What is the GCD of 976, 814, 559, 864?
GCD of given numbers 976, 814, 559, 864 is 1
2. How to calculate the greatest common divisor of 976, 814, 559, 864?
We can find the highest common divisor of 976, 814, 559, 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 976, 814, 559, 864 i.e 1.
3. How can I use the GCD of 976, 814, 559, 864Calculator?
Out the numbers 976, 814, 559, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.