Online GCD Calculator is useful to find the GCD of 489, 843, 411, 168 quickly. Get the easiest ways to solve the greatest common divisor of 489, 843, 411, 168 i.e 3 in different methods as follows.
Given Input numbers are 489, 843, 411, 168
In the factoring method, we have to find the divisors of all numbers
Divisors of 489 :
The positive integer divisors of 489 that completely divides 489 are.
1, 3, 163, 489
Divisors of 843 :
The positive integer divisors of 843 that completely divides 843 are.
1, 3, 281, 843
Divisors of 411 :
The positive integer divisors of 411 that completely divides 411 are.
1, 3, 137, 411
Divisors of 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
GCD of numbers is the greatest common divisor
So, the GCD (489, 843, 411, 168) = 3.
Given numbers are 489, 843, 411, 168
The list of prime factors of all numbers are
Prime factors of 489 are 3 x 163
Prime factors of 843 are 3 x 281
Prime factors of 411 are 3 x 137
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
The highest common occurrence is 31
Therefore, GCD of 489, 843, 411, 168 is 3.
Given numbers are 489, 843, 411, 168
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(489, 843) = 137409
GCD(489, 843) = ( 489 x 843 ) / 137409
= 489 / 843
= 489
Step2:
LCM(3, 411) = 411
GCD(3, 411) = ( 3 x 411 ) / 411
= 3 / 411
= 3
Step3:
LCM(3, 168) = 168
GCD(3, 168) = ( 3 x 168 ) / 168
= 3 / 168
= 3
So, Greatest Common Divisor of 489, 843, 411, 168 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 489, 843, 411, 168
The greatest common divisor of numbers 489, 843, 411, 168 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 843, 411, 168 is 3.
1. What is the GCD of 489, 843, 411, 168?
GCD of given numbers 489, 843, 411, 168 is 3
2. How to calculate the greatest common divisor of 489, 843, 411, 168?
We can find the highest common divisor of 489, 843, 411, 168 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 489, 843, 411, 168 i.e 3.
3. How can I use the GCD of 489, 843, 411, 168Calculator?
Out the numbers 489, 843, 411, 168 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.