Online GCD Calculator is useful to find the GCD of 504, 864, 409, 964 quickly. Get the easiest ways to solve the greatest common divisor of 504, 864, 409, 964 i.e 1 in different methods as follows.
Given Input numbers are 504, 864, 409, 964
In the factoring method, we have to find the divisors of all numbers
Divisors of 504 :
The positive integer divisors of 504 that completely divides 504 are.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
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 409 :
The positive integer divisors of 409 that completely divides 409 are.
1, 409
Divisors of 964 :
The positive integer divisors of 964 that completely divides 964 are.
1, 2, 4, 241, 482, 964
GCD of numbers is the greatest common divisor
So, the GCD (504, 864, 409, 964) = 1.
Given numbers are 504, 864, 409, 964
The list of prime factors of all numbers are
Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 409 are 409
Prime factors of 964 are 2 x 2 x 241
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 504, 864, 409, 964
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(504, 864) = 6048
GCD(504, 864) = ( 504 x 864 ) / 6048
= 504 / 864
= 504
Step2:
LCM(72, 409) = 29448
GCD(72, 409) = ( 72 x 409 ) / 29448
= 72 / 409
= 72
Step3:
LCM(1, 964) = 964
GCD(1, 964) = ( 1 x 964 ) / 964
= 1 / 964
= 1
So, Greatest Common Divisor of 504, 864, 409, 964 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 504, 864, 409, 964
The greatest common divisor of numbers 504, 864, 409, 964 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 864, 409, 964 is 1.
1. What is the GCD of 504, 864, 409, 964?
GCD of given numbers 504, 864, 409, 964 is 1
2. How to calculate the greatest common divisor of 504, 864, 409, 964?
We can find the highest common divisor of 504, 864, 409, 964 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 504, 864, 409, 964 i.e 1.
3. How can I use the GCD of 504, 864, 409, 964Calculator?
Out the numbers 504, 864, 409, 964 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.