Online GCD Calculator is useful to find the GCD of 636, 744, 284 quickly. Get the easiest ways to solve the greatest common divisor of 636, 744, 284 i.e 4 in different methods as follows.
Given Input numbers are 636, 744, 284
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 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 284 :
The positive integer divisors of 284 that completely divides 284 are.
1, 2, 4, 71, 142, 284
GCD of numbers is the greatest common divisor
So, the GCD (636, 744, 284) = 4.
Given numbers are 636, 744, 284
The list of prime factors of all numbers are
Prime factors of 636 are 2 x 2 x 3 x 53
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 284 are 2 x 2 x 71
The highest common occurrence is 22
Therefore, GCD of 636, 744, 284 is 4.
Given numbers are 636, 744, 284
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(636, 744) = 39432
GCD(636, 744) = ( 636 x 744 ) / 39432
= 636 / 744
= 636
Step2:
LCM(12, 284) = 852
GCD(12, 284) = ( 12 x 284 ) / 852
= 12 / 284
= 12
So, Greatest Common Divisor of 636, 744, 284 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 636, 744, 284
The greatest common divisor of numbers 636, 744, 284 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 636, 744, 284 is 4.
1. What is the GCD of 636, 744, 284?
GCD of given numbers 636, 744, 284 is 4
2. How to calculate the greatest common divisor of 636, 744, 284?
We can find the highest common divisor of 636, 744, 284 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, 744, 284 i.e 4.
3. How can I use the GCD of 636, 744, 284Calculator?
Out the numbers 636, 744, 284 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.