Online GCD Calculator is useful to find the GCD of 459, 927, 675, 708 quickly. Get the easiest ways to solve the greatest common divisor of 459, 927, 675, 708 i.e 3 in different methods as follows.
Given Input numbers are 459, 927, 675, 708
In the factoring method, we have to find the divisors of all numbers
Divisors of 459 :
The positive integer divisors of 459 that completely divides 459 are.
1, 3, 9, 17, 27, 51, 153, 459
Divisors of 927 :
The positive integer divisors of 927 that completely divides 927 are.
1, 3, 9, 103, 309, 927
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 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
GCD of numbers is the greatest common divisor
So, the GCD (459, 927, 675, 708) = 3.
Given numbers are 459, 927, 675, 708
The list of prime factors of all numbers are
Prime factors of 459 are 3 x 3 x 3 x 17
Prime factors of 927 are 3 x 3 x 103
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
Prime factors of 708 are 2 x 2 x 3 x 59
The highest common occurrence is 31
Therefore, GCD of 459, 927, 675, 708 is 3.
Given numbers are 459, 927, 675, 708
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(459, 927) = 47277
GCD(459, 927) = ( 459 x 927 ) / 47277
= 459 / 927
= 459
Step2:
LCM(9, 675) = 675
GCD(9, 675) = ( 9 x 675 ) / 675
= 9 / 675
= 9
Step3:
LCM(9, 708) = 2124
GCD(9, 708) = ( 9 x 708 ) / 2124
= 9 / 708
= 9
So, Greatest Common Divisor of 459, 927, 675, 708 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 459, 927, 675, 708
The greatest common divisor of numbers 459, 927, 675, 708 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 459, 927, 675, 708 is 3.
1. What is the GCD of 459, 927, 675, 708?
GCD of given numbers 459, 927, 675, 708 is 3
2. How to calculate the greatest common divisor of 459, 927, 675, 708?
We can find the highest common divisor of 459, 927, 675, 708 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 459, 927, 675, 708 i.e 3.
3. How can I use the GCD of 459, 927, 675, 708Calculator?
Out the numbers 459, 927, 675, 708 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.