Online GCD Calculator is useful to find the GCD of 564, 288, 475, 440 quickly. Get the easiest ways to solve the greatest common divisor of 564, 288, 475, 440 i.e 1 in different methods as follows.
Given Input numbers are 564, 288, 475, 440
In the factoring method, we have to find the divisors of all numbers
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 475 :
The positive integer divisors of 475 that completely divides 475 are.
1, 5, 19, 25, 95, 475
Divisors of 440 :
The positive integer divisors of 440 that completely divides 440 are.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
GCD of numbers is the greatest common divisor
So, the GCD (564, 288, 475, 440) = 1.
Given numbers are 564, 288, 475, 440
The list of prime factors of all numbers are
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 475 are 5 x 5 x 19
Prime factors of 440 are 2 x 2 x 2 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 564, 288, 475, 440
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(564, 288) = 13536
GCD(564, 288) = ( 564 x 288 ) / 13536
= 564 / 288
= 564
Step2:
LCM(12, 475) = 5700
GCD(12, 475) = ( 12 x 475 ) / 5700
= 12 / 475
= 12
Step3:
LCM(1, 440) = 440
GCD(1, 440) = ( 1 x 440 ) / 440
= 1 / 440
= 1
So, Greatest Common Divisor of 564, 288, 475, 440 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 564, 288, 475, 440
The greatest common divisor of numbers 564, 288, 475, 440 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 288, 475, 440 is 1.
1. What is the GCD of 564, 288, 475, 440?
GCD of given numbers 564, 288, 475, 440 is 1
2. How to calculate the greatest common divisor of 564, 288, 475, 440?
We can find the highest common divisor of 564, 288, 475, 440 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 564, 288, 475, 440 i.e 1.
3. How can I use the GCD of 564, 288, 475, 440Calculator?
Out the numbers 564, 288, 475, 440 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.