Online GCD Calculator is useful to find the GCD of 576, 669, 423 quickly. Get the easiest ways to solve the greatest common divisor of 576, 669, 423 i.e 3 in different methods as follows.
Given Input numbers are 576, 669, 423
In the factoring method, we have to find the divisors of all numbers
Divisors of 576 :
The positive integer divisors of 576 that completely divides 576 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Divisors of 669 :
The positive integer divisors of 669 that completely divides 669 are.
1, 3, 223, 669
Divisors of 423 :
The positive integer divisors of 423 that completely divides 423 are.
1, 3, 9, 47, 141, 423
GCD of numbers is the greatest common divisor
So, the GCD (576, 669, 423) = 3.
Given numbers are 576, 669, 423
The list of prime factors of all numbers are
Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 669 are 3 x 223
Prime factors of 423 are 3 x 3 x 47
The highest common occurrence is 31
Therefore, GCD of 576, 669, 423 is 3.
Given numbers are 576, 669, 423
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(576, 669) = 128448
GCD(576, 669) = ( 576 x 669 ) / 128448
= 576 / 669
= 576
Step2:
LCM(3, 423) = 423
GCD(3, 423) = ( 3 x 423 ) / 423
= 3 / 423
= 3
So, Greatest Common Divisor of 576, 669, 423 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 576, 669, 423
The greatest common divisor of numbers 576, 669, 423 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 576, 669, 423 is 3.
1. What is the GCD of 576, 669, 423?
GCD of given numbers 576, 669, 423 is 3
2. How to calculate the greatest common divisor of 576, 669, 423?
We can find the highest common divisor of 576, 669, 423 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 576, 669, 423 i.e 3.
3. How can I use the GCD of 576, 669, 423Calculator?
Out the numbers 576, 669, 423 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.