Online GCD Calculator is useful to find the GCD of 636, 396, 172 quickly. Get the easiest ways to solve the greatest common divisor of 636, 396, 172 i.e 4 in different methods as follows.
Given Input numbers are 636, 396, 172
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 396 :
The positive integer divisors of 396 that completely divides 396 are.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
GCD of numbers is the greatest common divisor
So, the GCD (636, 396, 172) = 4.
Given numbers are 636, 396, 172
The list of prime factors of all numbers are
Prime factors of 636 are 2 x 2 x 3 x 53
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
Prime factors of 172 are 2 x 2 x 43
The highest common occurrence is 22
Therefore, GCD of 636, 396, 172 is 4.
Given numbers are 636, 396, 172
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(636, 396) = 20988
GCD(636, 396) = ( 636 x 396 ) / 20988
= 636 / 396
= 636
Step2:
LCM(12, 172) = 516
GCD(12, 172) = ( 12 x 172 ) / 516
= 12 / 172
= 12
So, Greatest Common Divisor of 636, 396, 172 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 636, 396, 172
The greatest common divisor of numbers 636, 396, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 636, 396, 172 is 4.
1. What is the GCD of 636, 396, 172?
GCD of given numbers 636, 396, 172 is 4
2. How to calculate the greatest common divisor of 636, 396, 172?
We can find the highest common divisor of 636, 396, 172 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, 396, 172 i.e 4.
3. How can I use the GCD of 636, 396, 172Calculator?
Out the numbers 636, 396, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.