Online GCD Calculator is useful to find the GCD of 488, 390, 162, 110 quickly. Get the easiest ways to solve the greatest common divisor of 488, 390, 162, 110 i.e 2 in different methods as follows.
Given Input numbers are 488, 390, 162, 110
In the factoring method, we have to find the divisors of all numbers
Divisors of 488 :
The positive integer divisors of 488 that completely divides 488 are.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 390 :
The positive integer divisors of 390 that completely divides 390 are.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
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 110 :
The positive integer divisors of 110 that completely divides 110 are.
1, 2, 5, 10, 11, 22, 55, 110
GCD of numbers is the greatest common divisor
So, the GCD (488, 390, 162, 110) = 2.
Given numbers are 488, 390, 162, 110
The list of prime factors of all numbers are
Prime factors of 488 are 2 x 2 x 2 x 61
Prime factors of 390 are 2 x 3 x 5 x 13
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
Prime factors of 110 are 2 x 5 x 11
The highest common occurrence is 21
Therefore, GCD of 488, 390, 162, 110 is 2.
Given numbers are 488, 390, 162, 110
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(488, 390) = 95160
GCD(488, 390) = ( 488 x 390 ) / 95160
= 488 / 390
= 488
Step2:
LCM(2, 162) = 162
GCD(2, 162) = ( 2 x 162 ) / 162
= 2 / 162
= 2
Step3:
LCM(2, 110) = 110
GCD(2, 110) = ( 2 x 110 ) / 110
= 2 / 110
= 2
So, Greatest Common Divisor of 488, 390, 162, 110 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 488, 390, 162, 110
The greatest common divisor of numbers 488, 390, 162, 110 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 390, 162, 110 is 2.
1. What is the GCD of 488, 390, 162, 110?
GCD of given numbers 488, 390, 162, 110 is 2
2. How to calculate the greatest common divisor of 488, 390, 162, 110?
We can find the highest common divisor of 488, 390, 162, 110 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 488, 390, 162, 110 i.e 2.
3. How can I use the GCD of 488, 390, 162, 110Calculator?
Out the numbers 488, 390, 162, 110 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.