Online GCD Calculator is useful to find the GCD of 218, 444, 636, 400 quickly. Get the easiest ways to solve the greatest common divisor of 218, 444, 636, 400 i.e 2 in different methods as follows.
Given Input numbers are 218, 444, 636, 400
In the factoring method, we have to find the divisors of all numbers
Divisors of 218 :
The positive integer divisors of 218 that completely divides 218 are.
1, 2, 109, 218
Divisors of 444 :
The positive integer divisors of 444 that completely divides 444 are.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
Divisors of 636 :
The positive integer divisors of 636 that completely divides 636 are.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
GCD of numbers is the greatest common divisor
So, the GCD (218, 444, 636, 400) = 2.
Given numbers are 218, 444, 636, 400
The list of prime factors of all numbers are
Prime factors of 218 are 2 x 109
Prime factors of 444 are 2 x 2 x 3 x 37
Prime factors of 636 are 2 x 2 x 3 x 53
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 218, 444, 636, 400 is 2.
Given numbers are 218, 444, 636, 400
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(218, 444) = 48396
GCD(218, 444) = ( 218 x 444 ) / 48396
= 218 / 444
= 218
Step2:
LCM(2, 636) = 636
GCD(2, 636) = ( 2 x 636 ) / 636
= 2 / 636
= 2
Step3:
LCM(2, 400) = 400
GCD(2, 400) = ( 2 x 400 ) / 400
= 2 / 400
= 2
So, Greatest Common Divisor of 218, 444, 636, 400 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 218, 444, 636, 400
The greatest common divisor of numbers 218, 444, 636, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 218, 444, 636, 400 is 2.
1. What is the GCD of 218, 444, 636, 400?
GCD of given numbers 218, 444, 636, 400 is 2
2. How to calculate the greatest common divisor of 218, 444, 636, 400?
We can find the highest common divisor of 218, 444, 636, 400 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 218, 444, 636, 400 i.e 2.
3. How can I use the GCD of 218, 444, 636, 400Calculator?
Out the numbers 218, 444, 636, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.