Online GCD Calculator is useful to find the GCD of 186, 195, 687, 267 quickly. Get the easiest ways to solve the greatest common divisor of 186, 195, 687, 267 i.e 3 in different methods as follows.
Given Input numbers are 186, 195, 687, 267
In the factoring method, we have to find the divisors of all numbers
Divisors of 186 :
The positive integer divisors of 186 that completely divides 186 are.
1, 2, 3, 6, 31, 62, 93, 186
Divisors of 195 :
The positive integer divisors of 195 that completely divides 195 are.
1, 3, 5, 13, 15, 39, 65, 195
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 267 :
The positive integer divisors of 267 that completely divides 267 are.
1, 3, 89, 267
GCD of numbers is the greatest common divisor
So, the GCD (186, 195, 687, 267) = 3.
Given numbers are 186, 195, 687, 267
The list of prime factors of all numbers are
Prime factors of 186 are 2 x 3 x 31
Prime factors of 195 are 3 x 5 x 13
Prime factors of 687 are 3 x 229
Prime factors of 267 are 3 x 89
The highest common occurrence is 31
Therefore, GCD of 186, 195, 687, 267 is 3.
Given numbers are 186, 195, 687, 267
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(186, 195) = 12090
GCD(186, 195) = ( 186 x 195 ) / 12090
= 186 / 195
= 186
Step2:
LCM(3, 687) = 687
GCD(3, 687) = ( 3 x 687 ) / 687
= 3 / 687
= 3
Step3:
LCM(3, 267) = 267
GCD(3, 267) = ( 3 x 267 ) / 267
= 3 / 267
= 3
So, Greatest Common Divisor of 186, 195, 687, 267 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 186, 195, 687, 267
The greatest common divisor of numbers 186, 195, 687, 267 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 186, 195, 687, 267 is 3.
1. What is the GCD of 186, 195, 687, 267?
GCD of given numbers 186, 195, 687, 267 is 3
2. How to calculate the greatest common divisor of 186, 195, 687, 267?
We can find the highest common divisor of 186, 195, 687, 267 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 186, 195, 687, 267 i.e 3.
3. How can I use the GCD of 186, 195, 687, 267Calculator?
Out the numbers 186, 195, 687, 267 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.