Online GCD Calculator is useful to find the GCD of 516, 102, 516, 168 quickly. Get the easiest ways to solve the greatest common divisor of 516, 102, 516, 168 i.e 6 in different methods as follows.
Given Input numbers are 516, 102, 516, 168
In the factoring method, we have to find the divisors of all numbers
Divisors of 516 :
The positive integer divisors of 516 that completely divides 516 are.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
Divisors of 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 516 :
The positive integer divisors of 516 that completely divides 516 are.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
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 (516, 102, 516, 168) = 6.
Given numbers are 516, 102, 516, 168
The list of prime factors of all numbers are
Prime factors of 516 are 2 x 2 x 3 x 43
Prime factors of 102 are 2 x 3 x 17
Prime factors of 516 are 2 x 2 x 3 x 43
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
The highest common occurrence is 21 x 31
Therefore, GCD of 516, 102, 516, 168 is 6.
Given numbers are 516, 102, 516, 168
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(516, 102) = 8772
GCD(516, 102) = ( 516 x 102 ) / 8772
= 516 / 102
= 516
Step2:
LCM(6, 516) = 516
GCD(6, 516) = ( 6 x 516 ) / 516
= 6 / 516
= 6
Step3:
LCM(6, 168) = 168
GCD(6, 168) = ( 6 x 168 ) / 168
= 6 / 168
= 6
So, Greatest Common Divisor of 516, 102, 516, 168 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 516, 102, 516, 168
The greatest common divisor of numbers 516, 102, 516, 168 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 516, 102, 516, 168 is 6.
1. What is the GCD of 516, 102, 516, 168?
GCD of given numbers 516, 102, 516, 168 is 6
2. How to calculate the greatest common divisor of 516, 102, 516, 168?
We can find the highest common divisor of 516, 102, 516, 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 516, 102, 516, 168 i.e 6.
3. How can I use the GCD of 516, 102, 516, 168Calculator?
Out the numbers 516, 102, 516, 168 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.