Online GCD Calculator is useful to find the GCD of 684, 201, 675, 600 quickly. Get the easiest ways to solve the greatest common divisor of 684, 201, 675, 600 i.e 3 in different methods as follows.
Given Input numbers are 684, 201, 675, 600
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
GCD of numbers is the greatest common divisor
So, the GCD (684, 201, 675, 600) = 3.
Given numbers are 684, 201, 675, 600
The list of prime factors of all numbers are
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 201 are 3 x 67
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 684, 201, 675, 600 is 3.
Given numbers are 684, 201, 675, 600
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(684, 201) = 45828
GCD(684, 201) = ( 684 x 201 ) / 45828
= 684 / 201
= 684
Step2:
LCM(3, 675) = 675
GCD(3, 675) = ( 3 x 675 ) / 675
= 3 / 675
= 3
Step3:
LCM(3, 600) = 600
GCD(3, 600) = ( 3 x 600 ) / 600
= 3 / 600
= 3
So, Greatest Common Divisor of 684, 201, 675, 600 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 684, 201, 675, 600
The greatest common divisor of numbers 684, 201, 675, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 201, 675, 600 is 3.
1. What is the GCD of 684, 201, 675, 600?
GCD of given numbers 684, 201, 675, 600 is 3
2. How to calculate the greatest common divisor of 684, 201, 675, 600?
We can find the highest common divisor of 684, 201, 675, 600 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 684, 201, 675, 600 i.e 3.
3. How can I use the GCD of 684, 201, 675, 600Calculator?
Out the numbers 684, 201, 675, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.