Online GCD Calculator is useful to find the GCD of 636, 218, 522, 122 quickly. Get the easiest ways to solve the greatest common divisor of 636, 218, 522, 122 i.e 2 in different methods as follows.
Given Input numbers are 636, 218, 522, 122
In the factoring method, we have to find the divisors of all numbers
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 218 :
The positive integer divisors of 218 that completely divides 218 are.
1, 2, 109, 218
Divisors of 522 :
The positive integer divisors of 522 that completely divides 522 are.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
Divisors of 122 :
The positive integer divisors of 122 that completely divides 122 are.
1, 2, 61, 122
GCD of numbers is the greatest common divisor
So, the GCD (636, 218, 522, 122) = 2.
Given numbers are 636, 218, 522, 122
The list of prime factors of all numbers are
Prime factors of 636 are 2 x 2 x 3 x 53
Prime factors of 218 are 2 x 109
Prime factors of 522 are 2 x 3 x 3 x 29
Prime factors of 122 are 2 x 61
The highest common occurrence is 21
Therefore, GCD of 636, 218, 522, 122 is 2.
Given numbers are 636, 218, 522, 122
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(636, 218) = 69324
GCD(636, 218) = ( 636 x 218 ) / 69324
= 636 / 218
= 636
Step2:
LCM(2, 522) = 522
GCD(2, 522) = ( 2 x 522 ) / 522
= 2 / 522
= 2
Step3:
LCM(2, 122) = 122
GCD(2, 122) = ( 2 x 122 ) / 122
= 2 / 122
= 2
So, Greatest Common Divisor of 636, 218, 522, 122 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 636, 218, 522, 122
The greatest common divisor of numbers 636, 218, 522, 122 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 636, 218, 522, 122 is 2.
1. What is the GCD of 636, 218, 522, 122?
GCD of given numbers 636, 218, 522, 122 is 2
2. How to calculate the greatest common divisor of 636, 218, 522, 122?
We can find the highest common divisor of 636, 218, 522, 122 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 636, 218, 522, 122 i.e 2.
3. How can I use the GCD of 636, 218, 522, 122Calculator?
Out the numbers 636, 218, 522, 122 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.