Online GCD Calculator is useful to find the GCD of 824, 408, 412, 516 quickly. Get the easiest ways to solve the greatest common divisor of 824, 408, 412, 516 i.e 4 in different methods as follows.
Given Input numbers are 824, 408, 412, 516
In the factoring method, we have to find the divisors of all numbers
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 408 :
The positive integer divisors of 408 that completely divides 408 are.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
Divisors of 412 :
The positive integer divisors of 412 that completely divides 412 are.
1, 2, 4, 103, 206, 412
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
GCD of numbers is the greatest common divisor
So, the GCD (824, 408, 412, 516) = 4.
Given numbers are 824, 408, 412, 516
The list of prime factors of all numbers are
Prime factors of 824 are 2 x 2 x 2 x 103
Prime factors of 408 are 2 x 2 x 2 x 3 x 17
Prime factors of 412 are 2 x 2 x 103
Prime factors of 516 are 2 x 2 x 3 x 43
The highest common occurrence is 22
Therefore, GCD of 824, 408, 412, 516 is 4.
Given numbers are 824, 408, 412, 516
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(824, 408) = 42024
GCD(824, 408) = ( 824 x 408 ) / 42024
= 824 / 408
= 824
Step2:
LCM(8, 412) = 824
GCD(8, 412) = ( 8 x 412 ) / 824
= 8 / 412
= 8
Step3:
LCM(4, 516) = 516
GCD(4, 516) = ( 4 x 516 ) / 516
= 4 / 516
= 4
So, Greatest Common Divisor of 824, 408, 412, 516 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 824, 408, 412, 516
The greatest common divisor of numbers 824, 408, 412, 516 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 408, 412, 516 is 4.
1. What is the GCD of 824, 408, 412, 516?
GCD of given numbers 824, 408, 412, 516 is 4
2. How to calculate the greatest common divisor of 824, 408, 412, 516?
We can find the highest common divisor of 824, 408, 412, 516 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 824, 408, 412, 516 i.e 4.
3. How can I use the GCD of 824, 408, 412, 516Calculator?
Out the numbers 824, 408, 412, 516 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.