Online GCD Calculator is useful to find the GCD of 165, 423, 801, 489 quickly. Get the easiest ways to solve the greatest common divisor of 165, 423, 801, 489 i.e 3 in different methods as follows.
Given Input numbers are 165, 423, 801, 489
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 423 :
The positive integer divisors of 423 that completely divides 423 are.
1, 3, 9, 47, 141, 423
Divisors of 801 :
The positive integer divisors of 801 that completely divides 801 are.
1, 3, 9, 89, 267, 801
Divisors of 489 :
The positive integer divisors of 489 that completely divides 489 are.
1, 3, 163, 489
GCD of numbers is the greatest common divisor
So, the GCD (165, 423, 801, 489) = 3.
Given numbers are 165, 423, 801, 489
The list of prime factors of all numbers are
Prime factors of 165 are 3 x 5 x 11
Prime factors of 423 are 3 x 3 x 47
Prime factors of 801 are 3 x 3 x 89
Prime factors of 489 are 3 x 163
The highest common occurrence is 31
Therefore, GCD of 165, 423, 801, 489 is 3.
Given numbers are 165, 423, 801, 489
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(165, 423) = 23265
GCD(165, 423) = ( 165 x 423 ) / 23265
= 165 / 423
= 165
Step2:
LCM(3, 801) = 801
GCD(3, 801) = ( 3 x 801 ) / 801
= 3 / 801
= 3
Step3:
LCM(3, 489) = 489
GCD(3, 489) = ( 3 x 489 ) / 489
= 3 / 489
= 3
So, Greatest Common Divisor of 165, 423, 801, 489 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 165, 423, 801, 489
The greatest common divisor of numbers 165, 423, 801, 489 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 165, 423, 801, 489 is 3.
1. What is the GCD of 165, 423, 801, 489?
GCD of given numbers 165, 423, 801, 489 is 3
2. How to calculate the greatest common divisor of 165, 423, 801, 489?
We can find the highest common divisor of 165, 423, 801, 489 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, 423, 801, 489 i.e 3.
3. How can I use the GCD of 165, 423, 801, 489Calculator?
Out the numbers 165, 423, 801, 489 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.