Online GCD Calculator is useful to find the GCD of 516, 488, 212, 732 quickly. Get the easiest ways to solve the greatest common divisor of 516, 488, 212, 732 i.e 4 in different methods as follows.
Given Input numbers are 516, 488, 212, 732
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 488 :
The positive integer divisors of 488 that completely divides 488 are.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
GCD of numbers is the greatest common divisor
So, the GCD (516, 488, 212, 732) = 4.
Given numbers are 516, 488, 212, 732
The list of prime factors of all numbers are
Prime factors of 516 are 2 x 2 x 3 x 43
Prime factors of 488 are 2 x 2 x 2 x 61
Prime factors of 212 are 2 x 2 x 53
Prime factors of 732 are 2 x 2 x 3 x 61
The highest common occurrence is 22
Therefore, GCD of 516, 488, 212, 732 is 4.
Given numbers are 516, 488, 212, 732
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(516, 488) = 62952
GCD(516, 488) = ( 516 x 488 ) / 62952
= 516 / 488
= 516
Step2:
LCM(4, 212) = 212
GCD(4, 212) = ( 4 x 212 ) / 212
= 4 / 212
= 4
Step3:
LCM(4, 732) = 732
GCD(4, 732) = ( 4 x 732 ) / 732
= 4 / 732
= 4
So, Greatest Common Divisor of 516, 488, 212, 732 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 516, 488, 212, 732
The greatest common divisor of numbers 516, 488, 212, 732 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 516, 488, 212, 732 is 4.
1. What is the GCD of 516, 488, 212, 732?
GCD of given numbers 516, 488, 212, 732 is 4
2. How to calculate the greatest common divisor of 516, 488, 212, 732?
We can find the highest common divisor of 516, 488, 212, 732 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, 488, 212, 732 i.e 4.
3. How can I use the GCD of 516, 488, 212, 732Calculator?
Out the numbers 516, 488, 212, 732 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.