Online GCD Calculator is useful to find the GCD of 510, 963, 165, 366 quickly. Get the easiest ways to solve the greatest common divisor of 510, 963, 165, 366 i.e 3 in different methods as follows.
Given Input numbers are 510, 963, 165, 366
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 963 :
The positive integer divisors of 963 that completely divides 963 are.
1, 3, 9, 107, 321, 963
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 366 :
The positive integer divisors of 366 that completely divides 366 are.
1, 2, 3, 6, 61, 122, 183, 366
GCD of numbers is the greatest common divisor
So, the GCD (510, 963, 165, 366) = 3.
Given numbers are 510, 963, 165, 366
The list of prime factors of all numbers are
Prime factors of 510 are 2 x 3 x 5 x 17
Prime factors of 963 are 3 x 3 x 107
Prime factors of 165 are 3 x 5 x 11
Prime factors of 366 are 2 x 3 x 61
The highest common occurrence is 31
Therefore, GCD of 510, 963, 165, 366 is 3.
Given numbers are 510, 963, 165, 366
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(510, 963) = 163710
GCD(510, 963) = ( 510 x 963 ) / 163710
= 510 / 963
= 510
Step2:
LCM(3, 165) = 165
GCD(3, 165) = ( 3 x 165 ) / 165
= 3 / 165
= 3
Step3:
LCM(3, 366) = 366
GCD(3, 366) = ( 3 x 366 ) / 366
= 3 / 366
= 3
So, Greatest Common Divisor of 510, 963, 165, 366 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 510, 963, 165, 366
The greatest common divisor of numbers 510, 963, 165, 366 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 510, 963, 165, 366 is 3.
1. What is the GCD of 510, 963, 165, 366?
GCD of given numbers 510, 963, 165, 366 is 3
2. How to calculate the greatest common divisor of 510, 963, 165, 366?
We can find the highest common divisor of 510, 963, 165, 366 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 510, 963, 165, 366 i.e 3.
3. How can I use the GCD of 510, 963, 165, 366Calculator?
Out the numbers 510, 963, 165, 366 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.