Online GCD Calculator is useful to find the GCD of 464, 392, 180, 512 quickly. Get the easiest ways to solve the greatest common divisor of 464, 392, 180, 512 i.e 4 in different methods as follows.
Given Input numbers are 464, 392, 180, 512
In the factoring method, we have to find the divisors of all numbers
Divisors of 464 :
The positive integer divisors of 464 that completely divides 464 are.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 392 :
The positive integer divisors of 392 that completely divides 392 are.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 512 :
The positive integer divisors of 512 that completely divides 512 are.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
GCD of numbers is the greatest common divisor
So, the GCD (464, 392, 180, 512) = 4.
Given numbers are 464, 392, 180, 512
The list of prime factors of all numbers are
Prime factors of 464 are 2 x 2 x 2 x 2 x 29
Prime factors of 392 are 2 x 2 x 2 x 7 x 7
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
The highest common occurrence is 22
Therefore, GCD of 464, 392, 180, 512 is 4.
Given numbers are 464, 392, 180, 512
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(464, 392) = 22736
GCD(464, 392) = ( 464 x 392 ) / 22736
= 464 / 392
= 464
Step2:
LCM(8, 180) = 360
GCD(8, 180) = ( 8 x 180 ) / 360
= 8 / 180
= 8
Step3:
LCM(4, 512) = 512
GCD(4, 512) = ( 4 x 512 ) / 512
= 4 / 512
= 4
So, Greatest Common Divisor of 464, 392, 180, 512 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 464, 392, 180, 512
The greatest common divisor of numbers 464, 392, 180, 512 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 464, 392, 180, 512 is 4.
1. What is the GCD of 464, 392, 180, 512?
GCD of given numbers 464, 392, 180, 512 is 4
2. How to calculate the greatest common divisor of 464, 392, 180, 512?
We can find the highest common divisor of 464, 392, 180, 512 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 464, 392, 180, 512 i.e 4.
3. How can I use the GCD of 464, 392, 180, 512Calculator?
Out the numbers 464, 392, 180, 512 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.