Online GCD Calculator is useful to find the GCD of 855, 375, 45, 636 quickly. Get the easiest ways to solve the greatest common divisor of 855, 375, 45, 636 i.e 3 in different methods as follows.
Given Input numbers are 855, 375, 45, 636
In the factoring method, we have to find the divisors of all numbers
Divisors of 855 :
The positive integer divisors of 855 that completely divides 855 are.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Divisors of 375 :
The positive integer divisors of 375 that completely divides 375 are.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 45 :
The positive integer divisors of 45 that completely divides 45 are.
1, 3, 5, 9, 15, 45
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
GCD of numbers is the greatest common divisor
So, the GCD (855, 375, 45, 636) = 3.
Given numbers are 855, 375, 45, 636
The list of prime factors of all numbers are
Prime factors of 855 are 3 x 3 x 5 x 19
Prime factors of 375 are 3 x 5 x 5 x 5
Prime factors of 45 are 3 x 3 x 5
Prime factors of 636 are 2 x 2 x 3 x 53
The highest common occurrence is 31
Therefore, GCD of 855, 375, 45, 636 is 3.
Given numbers are 855, 375, 45, 636
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(855, 375) = 21375
GCD(855, 375) = ( 855 x 375 ) / 21375
= 855 / 375
= 855
Step2:
LCM(15, 45) = 45
GCD(15, 45) = ( 15 x 45 ) / 45
= 15 / 45
= 15
Step3:
LCM(15, 636) = 3180
GCD(15, 636) = ( 15 x 636 ) / 3180
= 15 / 636
= 15
So, Greatest Common Divisor of 855, 375, 45, 636 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 855, 375, 45, 636
The greatest common divisor of numbers 855, 375, 45, 636 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 855, 375, 45, 636 is 3.
1. What is the GCD of 855, 375, 45, 636?
GCD of given numbers 855, 375, 45, 636 is 3
2. How to calculate the greatest common divisor of 855, 375, 45, 636?
We can find the highest common divisor of 855, 375, 45, 636 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 855, 375, 45, 636 i.e 3.
3. How can I use the GCD of 855, 375, 45, 636Calculator?
Out the numbers 855, 375, 45, 636 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.