Online GCD Calculator is useful to find the GCD of 162, 348, 597, 489 quickly. Get the easiest ways to solve the greatest common divisor of 162, 348, 597, 489 i.e 3 in different methods as follows.
Given Input numbers are 162, 348, 597, 489
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 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 597 :
The positive integer divisors of 597 that completely divides 597 are.
1, 3, 199, 597
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 (162, 348, 597, 489) = 3.
Given numbers are 162, 348, 597, 489
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 348 are 2 x 2 x 3 x 29
Prime factors of 597 are 3 x 199
Prime factors of 489 are 3 x 163
The highest common occurrence is 31
Therefore, GCD of 162, 348, 597, 489 is 3.
Given numbers are 162, 348, 597, 489
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(162, 348) = 9396
GCD(162, 348) = ( 162 x 348 ) / 9396
= 162 / 348
= 162
Step2:
LCM(6, 597) = 1194
GCD(6, 597) = ( 6 x 597 ) / 1194
= 6 / 597
= 6
Step3:
LCM(3, 489) = 489
GCD(3, 489) = ( 3 x 489 ) / 489
= 3 / 489
= 3
So, Greatest Common Divisor of 162, 348, 597, 489 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 162, 348, 597, 489
The greatest common divisor of numbers 162, 348, 597, 489 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 162, 348, 597, 489 is 3.
1. What is the GCD of 162, 348, 597, 489?
GCD of given numbers 162, 348, 597, 489 is 3
2. How to calculate the greatest common divisor of 162, 348, 597, 489?
We can find the highest common divisor of 162, 348, 597, 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 162, 348, 597, 489 i.e 3.
3. How can I use the GCD of 162, 348, 597, 489Calculator?
Out the numbers 162, 348, 597, 489 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.