Online GCD Calculator is useful to find the GCD of 693, 363, 585 quickly. Get the easiest ways to solve the greatest common divisor of 693, 363, 585 i.e 3 in different methods as follows.
Given Input numbers are 693, 363, 585
In the factoring method, we have to find the divisors of all numbers
Divisors of 693 :
The positive integer divisors of 693 that completely divides 693 are.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 363 :
The positive integer divisors of 363 that completely divides 363 are.
1, 3, 11, 33, 121, 363
Divisors of 585 :
The positive integer divisors of 585 that completely divides 585 are.
1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
GCD of numbers is the greatest common divisor
So, the GCD (693, 363, 585) = 3.
Given numbers are 693, 363, 585
The list of prime factors of all numbers are
Prime factors of 693 are 3 x 3 x 7 x 11
Prime factors of 363 are 3 x 11 x 11
Prime factors of 585 are 3 x 3 x 5 x 13
The highest common occurrence is 31
Therefore, GCD of 693, 363, 585 is 3.
Given numbers are 693, 363, 585
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(693, 363) = 7623
GCD(693, 363) = ( 693 x 363 ) / 7623
= 693 / 363
= 693
Step2:
LCM(33, 585) = 6435
GCD(33, 585) = ( 33 x 585 ) / 6435
= 33 / 585
= 33
So, Greatest Common Divisor of 693, 363, 585 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 693, 363, 585
The greatest common divisor of numbers 693, 363, 585 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 693, 363, 585 is 3.
1. What is the GCD of 693, 363, 585?
GCD of given numbers 693, 363, 585 is 3
2. How to calculate the greatest common divisor of 693, 363, 585?
We can find the highest common divisor of 693, 363, 585 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 693, 363, 585 i.e 3.
3. How can I use the GCD of 693, 363, 585Calculator?
Out the numbers 693, 363, 585 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.