Online GCD Calculator is useful to find the GCD of 496, 316, 416, 504 quickly. Get the easiest ways to solve the greatest common divisor of 496, 316, 416, 504 i.e 4 in different methods as follows.
Given Input numbers are 496, 316, 416, 504
In the factoring method, we have to find the divisors of all numbers
Divisors of 496 :
The positive integer divisors of 496 that completely divides 496 are.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
Divisors of 416 :
The positive integer divisors of 416 that completely divides 416 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
Divisors of 504 :
The positive integer divisors of 504 that completely divides 504 are.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
GCD of numbers is the greatest common divisor
So, the GCD (496, 316, 416, 504) = 4.
Given numbers are 496, 316, 416, 504
The list of prime factors of all numbers are
Prime factors of 496 are 2 x 2 x 2 x 2 x 31
Prime factors of 316 are 2 x 2 x 79
Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13
Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7
The highest common occurrence is 22
Therefore, GCD of 496, 316, 416, 504 is 4.
Given numbers are 496, 316, 416, 504
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(496, 316) = 39184
GCD(496, 316) = ( 496 x 316 ) / 39184
= 496 / 316
= 496
Step2:
LCM(4, 416) = 416
GCD(4, 416) = ( 4 x 416 ) / 416
= 4 / 416
= 4
Step3:
LCM(4, 504) = 504
GCD(4, 504) = ( 4 x 504 ) / 504
= 4 / 504
= 4
So, Greatest Common Divisor of 496, 316, 416, 504 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 496, 316, 416, 504
The greatest common divisor of numbers 496, 316, 416, 504 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 316, 416, 504 is 4.
1. What is the GCD of 496, 316, 416, 504?
GCD of given numbers 496, 316, 416, 504 is 4
2. How to calculate the greatest common divisor of 496, 316, 416, 504?
We can find the highest common divisor of 496, 316, 416, 504 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 496, 316, 416, 504 i.e 4.
3. How can I use the GCD of 496, 316, 416, 504Calculator?
Out the numbers 496, 316, 416, 504 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.