Online GCD Calculator is useful to find the GCD of 765, 729, 513, 675 quickly. Get the easiest ways to solve the greatest common divisor of 765, 729, 513, 675 i.e 9 in different methods as follows.
Given Input numbers are 765, 729, 513, 675
In the factoring method, we have to find the divisors of all numbers
Divisors of 765 :
The positive integer divisors of 765 that completely divides 765 are.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 729 :
The positive integer divisors of 729 that completely divides 729 are.
1, 3, 9, 27, 81, 243, 729
Divisors of 513 :
The positive integer divisors of 513 that completely divides 513 are.
1, 3, 9, 19, 27, 57, 171, 513
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
GCD of numbers is the greatest common divisor
So, the GCD (765, 729, 513, 675) = 9.
Given numbers are 765, 729, 513, 675
The list of prime factors of all numbers are
Prime factors of 765 are 3 x 3 x 5 x 17
Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3
Prime factors of 513 are 3 x 3 x 3 x 19
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
The highest common occurrence is 32
Therefore, GCD of 765, 729, 513, 675 is 9.
Given numbers are 765, 729, 513, 675
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(765, 729) = 61965
GCD(765, 729) = ( 765 x 729 ) / 61965
= 765 / 729
= 765
Step2:
LCM(9, 513) = 513
GCD(9, 513) = ( 9 x 513 ) / 513
= 9 / 513
= 9
Step3:
LCM(9, 675) = 675
GCD(9, 675) = ( 9 x 675 ) / 675
= 9 / 675
= 9
So, Greatest Common Divisor of 765, 729, 513, 675 is 9
Here are some samples of GCD of Numbers calculations.
Given numbers are 765, 729, 513, 675
The greatest common divisor of numbers 765, 729, 513, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 765, 729, 513, 675 is 9.
1. What is the GCD of 765, 729, 513, 675?
GCD of given numbers 765, 729, 513, 675 is 9
2. How to calculate the greatest common divisor of 765, 729, 513, 675?
We can find the highest common divisor of 765, 729, 513, 675 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 765, 729, 513, 675 i.e 9.
3. How can I use the GCD of 765, 729, 513, 675Calculator?
Out the numbers 765, 729, 513, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.