Online GCD Calculator is useful to find the GCD of 165, 648, 458, 498 quickly. Get the easiest ways to solve the greatest common divisor of 165, 648, 458, 498 i.e 1 in different methods as follows.
Given Input numbers are 165, 648, 458, 498
In the factoring method, we have to find the divisors of all numbers
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 648 :
The positive integer divisors of 648 that completely divides 648 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 458 :
The positive integer divisors of 458 that completely divides 458 are.
1, 2, 229, 458
Divisors of 498 :
The positive integer divisors of 498 that completely divides 498 are.
1, 2, 3, 6, 83, 166, 249, 498
GCD of numbers is the greatest common divisor
So, the GCD (165, 648, 458, 498) = 1.
Given numbers are 165, 648, 458, 498
The list of prime factors of all numbers are
Prime factors of 165 are 3 x 5 x 11
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 458 are 2 x 229
Prime factors of 498 are 2 x 3 x 83
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 165, 648, 458, 498
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(165, 648) = 35640
GCD(165, 648) = ( 165 x 648 ) / 35640
= 165 / 648
= 165
Step2:
LCM(3, 458) = 1374
GCD(3, 458) = ( 3 x 458 ) / 1374
= 3 / 458
= 3
Step3:
LCM(1, 498) = 498
GCD(1, 498) = ( 1 x 498 ) / 498
= 1 / 498
= 1
So, Greatest Common Divisor of 165, 648, 458, 498 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 165, 648, 458, 498
The greatest common divisor of numbers 165, 648, 458, 498 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 165, 648, 458, 498 is 1.
1. What is the GCD of 165, 648, 458, 498?
GCD of given numbers 165, 648, 458, 498 is 1
2. How to calculate the greatest common divisor of 165, 648, 458, 498?
We can find the highest common divisor of 165, 648, 458, 498 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 165, 648, 458, 498 i.e 1.
3. How can I use the GCD of 165, 648, 458, 498Calculator?
Out the numbers 165, 648, 458, 498 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.