Online GCD Calculator is useful to find the GCD of 663, 633, 696 quickly. Get the easiest ways to solve the greatest common divisor of 663, 633, 696 i.e 3 in different methods as follows.
Given Input numbers are 663, 633, 696
In the factoring method, we have to find the divisors of all numbers
Divisors of 663 :
The positive integer divisors of 663 that completely divides 663 are.
1, 3, 13, 17, 39, 51, 221, 663
Divisors of 633 :
The positive integer divisors of 633 that completely divides 633 are.
1, 3, 211, 633
Divisors of 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
GCD of numbers is the greatest common divisor
So, the GCD (663, 633, 696) = 3.
Given numbers are 663, 633, 696
The list of prime factors of all numbers are
Prime factors of 663 are 3 x 13 x 17
Prime factors of 633 are 3 x 211
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
The highest common occurrence is 31
Therefore, GCD of 663, 633, 696 is 3.
Given numbers are 663, 633, 696
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(663, 633) = 139893
GCD(663, 633) = ( 663 x 633 ) / 139893
= 663 / 633
= 663
Step2:
LCM(3, 696) = 696
GCD(3, 696) = ( 3 x 696 ) / 696
= 3 / 696
= 3
So, Greatest Common Divisor of 663, 633, 696 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 663, 633, 696
The greatest common divisor of numbers 663, 633, 696 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 663, 633, 696 is 3.
1. What is the GCD of 663, 633, 696?
GCD of given numbers 663, 633, 696 is 3
2. How to calculate the greatest common divisor of 663, 633, 696?
We can find the highest common divisor of 663, 633, 696 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 663, 633, 696 i.e 3.
3. How can I use the GCD of 663, 633, 696Calculator?
Out the numbers 663, 633, 696 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.