Online GCD Calculator is useful to find the GCD of 687, 297, 201 quickly. Get the easiest ways to solve the greatest common divisor of 687, 297, 201 i.e 3 in different methods as follows.
Given Input numbers are 687, 297, 201
In the factoring method, we have to find the divisors of all numbers
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 297 :
The positive integer divisors of 297 that completely divides 297 are.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 201 :
The positive integer divisors of 201 that completely divides 201 are.
1, 3, 67, 201
GCD of numbers is the greatest common divisor
So, the GCD (687, 297, 201) = 3.
Given numbers are 687, 297, 201
The list of prime factors of all numbers are
Prime factors of 687 are 3 x 229
Prime factors of 297 are 3 x 3 x 3 x 11
Prime factors of 201 are 3 x 67
The highest common occurrence is 31
Therefore, GCD of 687, 297, 201 is 3.
Given numbers are 687, 297, 201
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(687, 297) = 68013
GCD(687, 297) = ( 687 x 297 ) / 68013
= 687 / 297
= 687
Step2:
LCM(3, 201) = 201
GCD(3, 201) = ( 3 x 201 ) / 201
= 3 / 201
= 3
So, Greatest Common Divisor of 687, 297, 201 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 687, 297, 201
The greatest common divisor of numbers 687, 297, 201 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 297, 201 is 3.
1. What is the GCD of 687, 297, 201?
GCD of given numbers 687, 297, 201 is 3
2. How to calculate the greatest common divisor of 687, 297, 201?
We can find the highest common divisor of 687, 297, 201 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 687, 297, 201 i.e 3.
3. How can I use the GCD of 687, 297, 201Calculator?
Out the numbers 687, 297, 201 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.