Online GCD Calculator is useful to find the GCD of 162, 344, 588, 720 quickly. Get the easiest ways to solve the greatest common divisor of 162, 344, 588, 720 i.e 2 in different methods as follows.
Given Input numbers are 162, 344, 588, 720
In the factoring method, we have to find the divisors of all numbers
Divisors of 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 344 :
The positive integer divisors of 344 that completely divides 344 are.
1, 2, 4, 8, 43, 86, 172, 344
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 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
GCD of numbers is the greatest common divisor
So, the GCD (162, 344, 588, 720) = 2.
Given numbers are 162, 344, 588, 720
The list of prime factors of all numbers are
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
Prime factors of 344 are 2 x 2 x 2 x 43
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 162, 344, 588, 720 is 2.
Given numbers are 162, 344, 588, 720
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(162, 344) = 27864
GCD(162, 344) = ( 162 x 344 ) / 27864
= 162 / 344
= 162
Step2:
LCM(2, 588) = 588
GCD(2, 588) = ( 2 x 588 ) / 588
= 2 / 588
= 2
Step3:
LCM(2, 720) = 720
GCD(2, 720) = ( 2 x 720 ) / 720
= 2 / 720
= 2
So, Greatest Common Divisor of 162, 344, 588, 720 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 162, 344, 588, 720
The greatest common divisor of numbers 162, 344, 588, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 162, 344, 588, 720 is 2.
1. What is the GCD of 162, 344, 588, 720?
GCD of given numbers 162, 344, 588, 720 is 2
2. How to calculate the greatest common divisor of 162, 344, 588, 720?
We can find the highest common divisor of 162, 344, 588, 720 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 162, 344, 588, 720 i.e 2.
3. How can I use the GCD of 162, 344, 588, 720Calculator?
Out the numbers 162, 344, 588, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.