Online GCD Calculator is useful to find the GCD of 384, 275, 450, 504 quickly. Get the easiest ways to solve the greatest common divisor of 384, 275, 450, 504 i.e 1 in different methods as follows.
Given Input numbers are 384, 275, 450, 504
In the factoring method, we have to find the divisors of all numbers
Divisors of 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 275 :
The positive integer divisors of 275 that completely divides 275 are.
1, 5, 11, 25, 55, 275
Divisors of 450 :
The positive integer divisors of 450 that completely divides 450 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
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
GCD of numbers is the greatest common divisor
So, the GCD (384, 275, 450, 504) = 1.
Given numbers are 384, 275, 450, 504
The list of prime factors of all numbers are
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 275 are 5 x 5 x 11
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 384, 275, 450, 504
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(384, 275) = 105600
GCD(384, 275) = ( 384 x 275 ) / 105600
= 384 / 275
= 384
Step2:
LCM(1, 450) = 450
GCD(1, 450) = ( 1 x 450 ) / 450
= 1 / 450
= 1
Step3:
LCM(1, 504) = 504
GCD(1, 504) = ( 1 x 504 ) / 504
= 1 / 504
= 1
So, Greatest Common Divisor of 384, 275, 450, 504 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 384, 275, 450, 504
The greatest common divisor of numbers 384, 275, 450, 504 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 275, 450, 504 is 1.
1. What is the GCD of 384, 275, 450, 504?
GCD of given numbers 384, 275, 450, 504 is 1
2. How to calculate the greatest common divisor of 384, 275, 450, 504?
We can find the highest common divisor of 384, 275, 450, 504 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 384, 275, 450, 504 i.e 1.
3. How can I use the GCD of 384, 275, 450, 504Calculator?
Out the numbers 384, 275, 450, 504 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.