Online GCD Calculator is useful to find the GCD of 416, 476, 404, 216 quickly. Get the easiest ways to solve the greatest common divisor of 416, 476, 404, 216 i.e 4 in different methods as follows.
Given Input numbers are 416, 476, 404, 216
In the factoring method, we have to find the divisors of all numbers
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 476 :
The positive integer divisors of 476 that completely divides 476 are.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Divisors of 404 :
The positive integer divisors of 404 that completely divides 404 are.
1, 2, 4, 101, 202, 404
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
GCD of numbers is the greatest common divisor
So, the GCD (416, 476, 404, 216) = 4.
Given numbers are 416, 476, 404, 216
The list of prime factors of all numbers are
Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13
Prime factors of 476 are 2 x 2 x 7 x 17
Prime factors of 404 are 2 x 2 x 101
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
The highest common occurrence is 22
Therefore, GCD of 416, 476, 404, 216 is 4.
Given numbers are 416, 476, 404, 216
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(416, 476) = 49504
GCD(416, 476) = ( 416 x 476 ) / 49504
= 416 / 476
= 416
Step2:
LCM(4, 404) = 404
GCD(4, 404) = ( 4 x 404 ) / 404
= 4 / 404
= 4
Step3:
LCM(4, 216) = 216
GCD(4, 216) = ( 4 x 216 ) / 216
= 4 / 216
= 4
So, Greatest Common Divisor of 416, 476, 404, 216 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 416, 476, 404, 216
The greatest common divisor of numbers 416, 476, 404, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 416, 476, 404, 216 is 4.
1. What is the GCD of 416, 476, 404, 216?
GCD of given numbers 416, 476, 404, 216 is 4
2. How to calculate the greatest common divisor of 416, 476, 404, 216?
We can find the highest common divisor of 416, 476, 404, 216 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 416, 476, 404, 216 i.e 4.
3. How can I use the GCD of 416, 476, 404, 216Calculator?
Out the numbers 416, 476, 404, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.