Online GCD Calculator is useful to find the GCD of 384, 484, 516, 356 quickly. Get the easiest ways to solve the greatest common divisor of 384, 484, 516, 356 i.e 4 in different methods as follows.
Given Input numbers are 384, 484, 516, 356
In the factoring method, we have to find the divisors of all numbers
Divisors of 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 484 :
The positive integer divisors of 484 that completely divides 484 are.
1, 2, 4, 11, 22, 44, 121, 242, 484
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 356 :
The positive integer divisors of 356 that completely divides 356 are.
1, 2, 4, 89, 178, 356
GCD of numbers is the greatest common divisor
So, the GCD (384, 484, 516, 356) = 4.
Given numbers are 384, 484, 516, 356
The list of prime factors of all numbers are
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 484 are 2 x 2 x 11 x 11
Prime factors of 516 are 2 x 2 x 3 x 43
Prime factors of 356 are 2 x 2 x 89
The highest common occurrence is 22
Therefore, GCD of 384, 484, 516, 356 is 4.
Given numbers are 384, 484, 516, 356
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(384, 484) = 46464
GCD(384, 484) = ( 384 x 484 ) / 46464
= 384 / 484
= 384
Step2:
LCM(4, 516) = 516
GCD(4, 516) = ( 4 x 516 ) / 516
= 4 / 516
= 4
Step3:
LCM(4, 356) = 356
GCD(4, 356) = ( 4 x 356 ) / 356
= 4 / 356
= 4
So, Greatest Common Divisor of 384, 484, 516, 356 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 384, 484, 516, 356
The greatest common divisor of numbers 384, 484, 516, 356 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 484, 516, 356 is 4.
1. What is the GCD of 384, 484, 516, 356?
GCD of given numbers 384, 484, 516, 356 is 4
2. How to calculate the greatest common divisor of 384, 484, 516, 356?
We can find the highest common divisor of 384, 484, 516, 356 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 384, 484, 516, 356 i.e 4.
3. How can I use the GCD of 384, 484, 516, 356Calculator?
Out the numbers 384, 484, 516, 356 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.