Online GCD Calculator is useful to find the GCD of 488, 144, 490, 165 quickly. Get the easiest ways to solve the greatest common divisor of 488, 144, 490, 165 i.e 1 in different methods as follows.
Given Input numbers are 488, 144, 490, 165
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 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 490 :
The positive integer divisors of 490 that completely divides 490 are.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
GCD of numbers is the greatest common divisor
So, the GCD (488, 144, 490, 165) = 1.
Given numbers are 488, 144, 490, 165
The list of prime factors of all numbers are
Prime factors of 488 are 2 x 2 x 2 x 61
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 490 are 2 x 5 x 7 x 7
Prime factors of 165 are 3 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 488, 144, 490, 165
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(488, 144) = 8784
GCD(488, 144) = ( 488 x 144 ) / 8784
= 488 / 144
= 488
Step2:
LCM(8, 490) = 1960
GCD(8, 490) = ( 8 x 490 ) / 1960
= 8 / 490
= 8
Step3:
LCM(2, 165) = 330
GCD(2, 165) = ( 2 x 165 ) / 330
= 2 / 165
= 2
So, Greatest Common Divisor of 488, 144, 490, 165 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 488, 144, 490, 165
The greatest common divisor of numbers 488, 144, 490, 165 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 144, 490, 165 is 1.
1. What is the GCD of 488, 144, 490, 165?
GCD of given numbers 488, 144, 490, 165 is 1
2. How to calculate the greatest common divisor of 488, 144, 490, 165?
We can find the highest common divisor of 488, 144, 490, 165 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, 144, 490, 165 i.e 1.
3. How can I use the GCD of 488, 144, 490, 165Calculator?
Out the numbers 488, 144, 490, 165 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.