Online GCD Calculator is useful to find the GCD of 468, 384, 572 quickly. Get the easiest ways to solve the greatest common divisor of 468, 384, 572 i.e 4 in different methods as follows.
Given Input numbers are 468, 384, 572
In the factoring method, we have to find the divisors of all numbers
Divisors of 468 :
The positive integer divisors of 468 that completely divides 468 are.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
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 572 :
The positive integer divisors of 572 that completely divides 572 are.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
GCD of numbers is the greatest common divisor
So, the GCD (468, 384, 572) = 4.
Given numbers are 468, 384, 572
The list of prime factors of all numbers are
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 572 are 2 x 2 x 11 x 13
The highest common occurrence is 22
Therefore, GCD of 468, 384, 572 is 4.
Given numbers are 468, 384, 572
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(468, 384) = 14976
GCD(468, 384) = ( 468 x 384 ) / 14976
= 468 / 384
= 468
Step2:
LCM(12, 572) = 1716
GCD(12, 572) = ( 12 x 572 ) / 1716
= 12 / 572
= 12
So, Greatest Common Divisor of 468, 384, 572 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 468, 384, 572
The greatest common divisor of numbers 468, 384, 572 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 384, 572 is 4.
1. What is the GCD of 468, 384, 572?
GCD of given numbers 468, 384, 572 is 4
2. How to calculate the greatest common divisor of 468, 384, 572?
We can find the highest common divisor of 468, 384, 572 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 468, 384, 572 i.e 4.
3. How can I use the GCD of 468, 384, 572Calculator?
Out the numbers 468, 384, 572 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.