Online GCD Calculator is useful to find the GCD of 432, 166, 368, 590 quickly. Get the easiest ways to solve the greatest common divisor of 432, 166, 368, 590 i.e 2 in different methods as follows.
Given Input numbers are 432, 166, 368, 590
In the factoring method, we have to find the divisors of all numbers
Divisors of 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 166 :
The positive integer divisors of 166 that completely divides 166 are.
1, 2, 83, 166
Divisors of 368 :
The positive integer divisors of 368 that completely divides 368 are.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Divisors of 590 :
The positive integer divisors of 590 that completely divides 590 are.
1, 2, 5, 10, 59, 118, 295, 590
GCD of numbers is the greatest common divisor
So, the GCD (432, 166, 368, 590) = 2.
Given numbers are 432, 166, 368, 590
The list of prime factors of all numbers are
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 166 are 2 x 83
Prime factors of 368 are 2 x 2 x 2 x 2 x 23
Prime factors of 590 are 2 x 5 x 59
The highest common occurrence is 21
Therefore, GCD of 432, 166, 368, 590 is 2.
Given numbers are 432, 166, 368, 590
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(432, 166) = 35856
GCD(432, 166) = ( 432 x 166 ) / 35856
= 432 / 166
= 432
Step2:
LCM(2, 368) = 368
GCD(2, 368) = ( 2 x 368 ) / 368
= 2 / 368
= 2
Step3:
LCM(2, 590) = 590
GCD(2, 590) = ( 2 x 590 ) / 590
= 2 / 590
= 2
So, Greatest Common Divisor of 432, 166, 368, 590 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 432, 166, 368, 590
The greatest common divisor of numbers 432, 166, 368, 590 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 166, 368, 590 is 2.
1. What is the GCD of 432, 166, 368, 590?
GCD of given numbers 432, 166, 368, 590 is 2
2. How to calculate the greatest common divisor of 432, 166, 368, 590?
We can find the highest common divisor of 432, 166, 368, 590 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 432, 166, 368, 590 i.e 2.
3. How can I use the GCD of 432, 166, 368, 590Calculator?
Out the numbers 432, 166, 368, 590 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.