Online GCD Calculator is useful to find the GCD of 636, 522, 300, 736 quickly. Get the easiest ways to solve the greatest common divisor of 636, 522, 300, 736 i.e 2 in different methods as follows.
Given Input numbers are 636, 522, 300, 736
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 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 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 736 :
The positive integer divisors of 736 that completely divides 736 are.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
GCD of numbers is the greatest common divisor
So, the GCD (636, 522, 300, 736) = 2.
Given numbers are 636, 522, 300, 736
The list of prime factors of all numbers are
Prime factors of 636 are 2 x 2 x 3 x 53
Prime factors of 522 are 2 x 3 x 3 x 29
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23
The highest common occurrence is 21
Therefore, GCD of 636, 522, 300, 736 is 2.
Given numbers are 636, 522, 300, 736
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(636, 522) = 55332
GCD(636, 522) = ( 636 x 522 ) / 55332
= 636 / 522
= 636
Step2:
LCM(6, 300) = 300
GCD(6, 300) = ( 6 x 300 ) / 300
= 6 / 300
= 6
Step3:
LCM(6, 736) = 2208
GCD(6, 736) = ( 6 x 736 ) / 2208
= 6 / 736
= 6
So, Greatest Common Divisor of 636, 522, 300, 736 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 636, 522, 300, 736
The greatest common divisor of numbers 636, 522, 300, 736 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 636, 522, 300, 736 is 2.
1. What is the GCD of 636, 522, 300, 736?
GCD of given numbers 636, 522, 300, 736 is 2
2. How to calculate the greatest common divisor of 636, 522, 300, 736?
We can find the highest common divisor of 636, 522, 300, 736 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, 522, 300, 736 i.e 2.
3. How can I use the GCD of 636, 522, 300, 736Calculator?
Out the numbers 636, 522, 300, 736 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.