Online GCD Calculator is useful to find the GCD of 195, 384, 636, 609 quickly. Get the easiest ways to solve the greatest common divisor of 195, 384, 636, 609 i.e 3 in different methods as follows.
Given Input numbers are 195, 384, 636, 609
In the factoring method, we have to find the divisors of all numbers
Divisors of 195 :
The positive integer divisors of 195 that completely divides 195 are.
1, 3, 5, 13, 15, 39, 65, 195
Divisors of 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
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 609 :
The positive integer divisors of 609 that completely divides 609 are.
1, 3, 7, 21, 29, 87, 203, 609
GCD of numbers is the greatest common divisor
So, the GCD (195, 384, 636, 609) = 3.
Given numbers are 195, 384, 636, 609
The list of prime factors of all numbers are
Prime factors of 195 are 3 x 5 x 13
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 636 are 2 x 2 x 3 x 53
Prime factors of 609 are 3 x 7 x 29
The highest common occurrence is 31
Therefore, GCD of 195, 384, 636, 609 is 3.
Given numbers are 195, 384, 636, 609
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(195, 384) = 24960
GCD(195, 384) = ( 195 x 384 ) / 24960
= 195 / 384
= 195
Step2:
LCM(3, 636) = 636
GCD(3, 636) = ( 3 x 636 ) / 636
= 3 / 636
= 3
Step3:
LCM(3, 609) = 609
GCD(3, 609) = ( 3 x 609 ) / 609
= 3 / 609
= 3
So, Greatest Common Divisor of 195, 384, 636, 609 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 195, 384, 636, 609
The greatest common divisor of numbers 195, 384, 636, 609 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 195, 384, 636, 609 is 3.
1. What is the GCD of 195, 384, 636, 609?
GCD of given numbers 195, 384, 636, 609 is 3
2. How to calculate the greatest common divisor of 195, 384, 636, 609?
We can find the highest common divisor of 195, 384, 636, 609 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 195, 384, 636, 609 i.e 3.
3. How can I use the GCD of 195, 384, 636, 609Calculator?
Out the numbers 195, 384, 636, 609 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.