Online GCD Calculator is useful to find the GCD of 591, 675, 522, 687 quickly. Get the easiest ways to solve the greatest common divisor of 591, 675, 522, 687 i.e 3 in different methods as follows.
Given Input numbers are 591, 675, 522, 687
In the factoring method, we have to find the divisors of all numbers
Divisors of 591 :
The positive integer divisors of 591 that completely divides 591 are.
1, 3, 197, 591
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 522 :
The positive integer divisors of 522 that completely divides 522 are.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
GCD of numbers is the greatest common divisor
So, the GCD (591, 675, 522, 687) = 3.
Given numbers are 591, 675, 522, 687
The list of prime factors of all numbers are
Prime factors of 591 are 3 x 197
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
Prime factors of 522 are 2 x 3 x 3 x 29
Prime factors of 687 are 3 x 229
The highest common occurrence is 31
Therefore, GCD of 591, 675, 522, 687 is 3.
Given numbers are 591, 675, 522, 687
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(591, 675) = 132975
GCD(591, 675) = ( 591 x 675 ) / 132975
= 591 / 675
= 591
Step2:
LCM(3, 522) = 522
GCD(3, 522) = ( 3 x 522 ) / 522
= 3 / 522
= 3
Step3:
LCM(3, 687) = 687
GCD(3, 687) = ( 3 x 687 ) / 687
= 3 / 687
= 3
So, Greatest Common Divisor of 591, 675, 522, 687 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 591, 675, 522, 687
The greatest common divisor of numbers 591, 675, 522, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 591, 675, 522, 687 is 3.
1. What is the GCD of 591, 675, 522, 687?
GCD of given numbers 591, 675, 522, 687 is 3
2. How to calculate the greatest common divisor of 591, 675, 522, 687?
We can find the highest common divisor of 591, 675, 522, 687 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 591, 675, 522, 687 i.e 3.
3. How can I use the GCD of 591, 675, 522, 687Calculator?
Out the numbers 591, 675, 522, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.