Online GCD Calculator is useful to find the GCD of 489, 693, 384, 156 quickly. Get the easiest ways to solve the greatest common divisor of 489, 693, 384, 156 i.e 3 in different methods as follows.
Given Input numbers are 489, 693, 384, 156
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 693 :
The positive integer divisors of 693 that completely divides 693 are.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 156 :
The positive integer divisors of 156 that completely divides 156 are.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
GCD of numbers is the greatest common divisor
So, the GCD (489, 693, 384, 156) = 3.
Given numbers are 489, 693, 384, 156
The list of prime factors of all numbers are
Prime factors of 489 are 3 x 163
Prime factors of 693 are 3 x 3 x 7 x 11
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 156 are 2 x 2 x 3 x 13
The highest common occurrence is 31
Therefore, GCD of 489, 693, 384, 156 is 3.
Given numbers are 489, 693, 384, 156
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(489, 693) = 112959
GCD(489, 693) = ( 489 x 693 ) / 112959
= 489 / 693
= 489
Step2:
LCM(3, 384) = 384
GCD(3, 384) = ( 3 x 384 ) / 384
= 3 / 384
= 3
Step3:
LCM(3, 156) = 156
GCD(3, 156) = ( 3 x 156 ) / 156
= 3 / 156
= 3
So, Greatest Common Divisor of 489, 693, 384, 156 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 489, 693, 384, 156
The greatest common divisor of numbers 489, 693, 384, 156 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 693, 384, 156 is 3.
1. What is the GCD of 489, 693, 384, 156?
GCD of given numbers 489, 693, 384, 156 is 3
2. How to calculate the greatest common divisor of 489, 693, 384, 156?
We can find the highest common divisor of 489, 693, 384, 156 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, 693, 384, 156 i.e 3.
3. How can I use the GCD of 489, 693, 384, 156Calculator?
Out the numbers 489, 693, 384, 156 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.