Online GCD Calculator is useful to find the GCD of 516, 830, 550, 164 quickly. Get the easiest ways to solve the greatest common divisor of 516, 830, 550, 164 i.e 2 in different methods as follows.
Given Input numbers are 516, 830, 550, 164
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 830 :
The positive integer divisors of 830 that completely divides 830 are.
1, 2, 5, 10, 83, 166, 415, 830
Divisors of 550 :
The positive integer divisors of 550 that completely divides 550 are.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Divisors of 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
GCD of numbers is the greatest common divisor
So, the GCD (516, 830, 550, 164) = 2.
Given numbers are 516, 830, 550, 164
The list of prime factors of all numbers are
Prime factors of 516 are 2 x 2 x 3 x 43
Prime factors of 830 are 2 x 5 x 83
Prime factors of 550 are 2 x 5 x 5 x 11
Prime factors of 164 are 2 x 2 x 41
The highest common occurrence is 21
Therefore, GCD of 516, 830, 550, 164 is 2.
Given numbers are 516, 830, 550, 164
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(516, 830) = 214140
GCD(516, 830) = ( 516 x 830 ) / 214140
= 516 / 830
= 516
Step2:
LCM(2, 550) = 550
GCD(2, 550) = ( 2 x 550 ) / 550
= 2 / 550
= 2
Step3:
LCM(2, 164) = 164
GCD(2, 164) = ( 2 x 164 ) / 164
= 2 / 164
= 2
So, Greatest Common Divisor of 516, 830, 550, 164 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 516, 830, 550, 164
The greatest common divisor of numbers 516, 830, 550, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 516, 830, 550, 164 is 2.
1. What is the GCD of 516, 830, 550, 164?
GCD of given numbers 516, 830, 550, 164 is 2
2. How to calculate the greatest common divisor of 516, 830, 550, 164?
We can find the highest common divisor of 516, 830, 550, 164 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, 830, 550, 164 i.e 2.
3. How can I use the GCD of 516, 830, 550, 164Calculator?
Out the numbers 516, 830, 550, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.