Online GCD Calculator is useful to find the GCD of 273, 684, 201 quickly. Get the easiest ways to solve the greatest common divisor of 273, 684, 201 i.e 3 in different methods as follows.
Given Input numbers are 273, 684, 201
In the factoring method, we have to find the divisors of all numbers
Divisors of 273 :
The positive integer divisors of 273 that completely divides 273 are.
1, 3, 7, 13, 21, 39, 91, 273
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
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 (273, 684, 201) = 3.
Given numbers are 273, 684, 201
The list of prime factors of all numbers are
Prime factors of 273 are 3 x 7 x 13
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 201 are 3 x 67
The highest common occurrence is 31
Therefore, GCD of 273, 684, 201 is 3.
Given numbers are 273, 684, 201
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(273, 684) = 62244
GCD(273, 684) = ( 273 x 684 ) / 62244
= 273 / 684
= 273
Step2:
LCM(3, 201) = 201
GCD(3, 201) = ( 3 x 201 ) / 201
= 3 / 201
= 3
So, Greatest Common Divisor of 273, 684, 201 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 273, 684, 201
The greatest common divisor of numbers 273, 684, 201 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 273, 684, 201 is 3.
1. What is the GCD of 273, 684, 201?
GCD of given numbers 273, 684, 201 is 3
2. How to calculate the greatest common divisor of 273, 684, 201?
We can find the highest common divisor of 273, 684, 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 273, 684, 201 i.e 3.
3. How can I use the GCD of 273, 684, 201Calculator?
Out the numbers 273, 684, 201 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.