Online GCD Calculator is useful to find the GCD of 496, 204, 156, 218 quickly. Get the easiest ways to solve the greatest common divisor of 496, 204, 156, 218 i.e 2 in different methods as follows.
Given Input numbers are 496, 204, 156, 218
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 204 :
The positive integer divisors of 204 that completely divides 204 are.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 156 :
The positive integer divisors of 156 that completely divides 156 are.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Divisors of 218 :
The positive integer divisors of 218 that completely divides 218 are.
1, 2, 109, 218
GCD of numbers is the greatest common divisor
So, the GCD (496, 204, 156, 218) = 2.
Given numbers are 496, 204, 156, 218
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 204 are 2 x 2 x 3 x 17
Prime factors of 156 are 2 x 2 x 3 x 13
Prime factors of 218 are 2 x 109
The highest common occurrence is 21
Therefore, GCD of 496, 204, 156, 218 is 2.
Given numbers are 496, 204, 156, 218
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(496, 204) = 25296
GCD(496, 204) = ( 496 x 204 ) / 25296
= 496 / 204
= 496
Step2:
LCM(4, 156) = 156
GCD(4, 156) = ( 4 x 156 ) / 156
= 4 / 156
= 4
Step3:
LCM(4, 218) = 436
GCD(4, 218) = ( 4 x 218 ) / 436
= 4 / 218
= 4
So, Greatest Common Divisor of 496, 204, 156, 218 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 496, 204, 156, 218
The greatest common divisor of numbers 496, 204, 156, 218 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 204, 156, 218 is 2.
1. What is the GCD of 496, 204, 156, 218?
GCD of given numbers 496, 204, 156, 218 is 2
2. How to calculate the greatest common divisor of 496, 204, 156, 218?
We can find the highest common divisor of 496, 204, 156, 218 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, 204, 156, 218 i.e 2.
3. How can I use the GCD of 496, 204, 156, 218Calculator?
Out the numbers 496, 204, 156, 218 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.