Online GCD Calculator is useful to find the GCD of 489, 468, 771, 510 quickly. Get the easiest ways to solve the greatest common divisor of 489, 468, 771, 510 i.e 3 in different methods as follows.
Given Input numbers are 489, 468, 771, 510
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 468 :
The positive integer divisors of 468 that completely divides 468 are.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 771 :
The positive integer divisors of 771 that completely divides 771 are.
1, 3, 257, 771
Divisors of 510 :
The positive integer divisors of 510 that completely divides 510 are.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
GCD of numbers is the greatest common divisor
So, the GCD (489, 468, 771, 510) = 3.
Given numbers are 489, 468, 771, 510
The list of prime factors of all numbers are
Prime factors of 489 are 3 x 163
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
Prime factors of 771 are 3 x 257
Prime factors of 510 are 2 x 3 x 5 x 17
The highest common occurrence is 31
Therefore, GCD of 489, 468, 771, 510 is 3.
Given numbers are 489, 468, 771, 510
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(489, 468) = 76284
GCD(489, 468) = ( 489 x 468 ) / 76284
= 489 / 468
= 489
Step2:
LCM(3, 771) = 771
GCD(3, 771) = ( 3 x 771 ) / 771
= 3 / 771
= 3
Step3:
LCM(3, 510) = 510
GCD(3, 510) = ( 3 x 510 ) / 510
= 3 / 510
= 3
So, Greatest Common Divisor of 489, 468, 771, 510 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 489, 468, 771, 510
The greatest common divisor of numbers 489, 468, 771, 510 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 468, 771, 510 is 3.
1. What is the GCD of 489, 468, 771, 510?
GCD of given numbers 489, 468, 771, 510 is 3
2. How to calculate the greatest common divisor of 489, 468, 771, 510?
We can find the highest common divisor of 489, 468, 771, 510 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, 468, 771, 510 i.e 3.
3. How can I use the GCD of 489, 468, 771, 510Calculator?
Out the numbers 489, 468, 771, 510 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.