Online GCD Calculator is useful to find the GCD of 438, 744, 576, 159 quickly. Get the easiest ways to solve the greatest common divisor of 438, 744, 576, 159 i.e 3 in different methods as follows.
Given Input numbers are 438, 744, 576, 159
In the factoring method, we have to find the divisors of all numbers
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
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 159 :
The positive integer divisors of 159 that completely divides 159 are.
1, 3, 53, 159
GCD of numbers is the greatest common divisor
So, the GCD (438, 744, 576, 159) = 3.
Given numbers are 438, 744, 576, 159
The list of prime factors of all numbers are
Prime factors of 438 are 2 x 3 x 73
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 159 are 3 x 53
The highest common occurrence is 31
Therefore, GCD of 438, 744, 576, 159 is 3.
Given numbers are 438, 744, 576, 159
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(438, 744) = 54312
GCD(438, 744) = ( 438 x 744 ) / 54312
= 438 / 744
= 438
Step2:
LCM(6, 576) = 576
GCD(6, 576) = ( 6 x 576 ) / 576
= 6 / 576
= 6
Step3:
LCM(6, 159) = 318
GCD(6, 159) = ( 6 x 159 ) / 318
= 6 / 159
= 6
So, Greatest Common Divisor of 438, 744, 576, 159 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 438, 744, 576, 159
The greatest common divisor of numbers 438, 744, 576, 159 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 744, 576, 159 is 3.
1. What is the GCD of 438, 744, 576, 159?
GCD of given numbers 438, 744, 576, 159 is 3
2. How to calculate the greatest common divisor of 438, 744, 576, 159?
We can find the highest common divisor of 438, 744, 576, 159 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 438, 744, 576, 159 i.e 3.
3. How can I use the GCD of 438, 744, 576, 159Calculator?
Out the numbers 438, 744, 576, 159 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.