Online GCD Calculator is useful to find the GCD of 432, 588, 550, 160 quickly. Get the easiest ways to solve the greatest common divisor of 432, 588, 550, 160 i.e 2 in different methods as follows.
Given Input numbers are 432, 588, 550, 160
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 588 :
The positive integer divisors of 588 that completely divides 588 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Divisors of 550 :
The positive integer divisors of 550 that completely divides 550 are.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Divisors of 160 :
The positive integer divisors of 160 that completely divides 160 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
GCD of numbers is the greatest common divisor
So, the GCD (432, 588, 550, 160) = 2.
Given numbers are 432, 588, 550, 160
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 588 are 2 x 2 x 3 x 7 x 7
Prime factors of 550 are 2 x 5 x 5 x 11
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
The highest common occurrence is 21
Therefore, GCD of 432, 588, 550, 160 is 2.
Given numbers are 432, 588, 550, 160
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(432, 588) = 21168
GCD(432, 588) = ( 432 x 588 ) / 21168
= 432 / 588
= 432
Step2:
LCM(12, 550) = 3300
GCD(12, 550) = ( 12 x 550 ) / 3300
= 12 / 550
= 12
Step3:
LCM(2, 160) = 160
GCD(2, 160) = ( 2 x 160 ) / 160
= 2 / 160
= 2
So, Greatest Common Divisor of 432, 588, 550, 160 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 432, 588, 550, 160
The greatest common divisor of numbers 432, 588, 550, 160 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 588, 550, 160 is 2.
1. What is the GCD of 432, 588, 550, 160?
GCD of given numbers 432, 588, 550, 160 is 2
2. How to calculate the greatest common divisor of 432, 588, 550, 160?
We can find the highest common divisor of 432, 588, 550, 160 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, 588, 550, 160 i.e 2.
3. How can I use the GCD of 432, 588, 550, 160Calculator?
Out the numbers 432, 588, 550, 160 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.