Online GCD Calculator is useful to find the GCD of 472, 170, 512, 376 quickly. Get the easiest ways to solve the greatest common divisor of 472, 170, 512, 376 i.e 2 in different methods as follows.
Given Input numbers are 472, 170, 512, 376
In the factoring method, we have to find the divisors of all numbers
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 170 :
The positive integer divisors of 170 that completely divides 170 are.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 512 :
The positive integer divisors of 512 that completely divides 512 are.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
Divisors of 376 :
The positive integer divisors of 376 that completely divides 376 are.
1, 2, 4, 8, 47, 94, 188, 376
GCD of numbers is the greatest common divisor
So, the GCD (472, 170, 512, 376) = 2.
Given numbers are 472, 170, 512, 376
The list of prime factors of all numbers are
Prime factors of 472 are 2 x 2 x 2 x 59
Prime factors of 170 are 2 x 5 x 17
Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime factors of 376 are 2 x 2 x 2 x 47
The highest common occurrence is 21
Therefore, GCD of 472, 170, 512, 376 is 2.
Given numbers are 472, 170, 512, 376
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(472, 170) = 40120
GCD(472, 170) = ( 472 x 170 ) / 40120
= 472 / 170
= 472
Step2:
LCM(2, 512) = 512
GCD(2, 512) = ( 2 x 512 ) / 512
= 2 / 512
= 2
Step3:
LCM(2, 376) = 376
GCD(2, 376) = ( 2 x 376 ) / 376
= 2 / 376
= 2
So, Greatest Common Divisor of 472, 170, 512, 376 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 472, 170, 512, 376
The greatest common divisor of numbers 472, 170, 512, 376 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 170, 512, 376 is 2.
1. What is the GCD of 472, 170, 512, 376?
GCD of given numbers 472, 170, 512, 376 is 2
2. How to calculate the greatest common divisor of 472, 170, 512, 376?
We can find the highest common divisor of 472, 170, 512, 376 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 472, 170, 512, 376 i.e 2.
3. How can I use the GCD of 472, 170, 512, 376Calculator?
Out the numbers 472, 170, 512, 376 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.