Online GCD Calculator is useful to find the GCD of 663, 345, 402 quickly. Get the easiest ways to solve the greatest common divisor of 663, 345, 402 i.e 3 in different methods as follows.
Given Input numbers are 663, 345, 402
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 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
GCD of numbers is the greatest common divisor
So, the GCD (663, 345, 402) = 3.
Given numbers are 663, 345, 402
The list of prime factors of all numbers are
Prime factors of 663 are 3 x 13 x 17
Prime factors of 345 are 3 x 5 x 23
Prime factors of 402 are 2 x 3 x 67
The highest common occurrence is 31
Therefore, GCD of 663, 345, 402 is 3.
Given numbers are 663, 345, 402
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(663, 345) = 76245
GCD(663, 345) = ( 663 x 345 ) / 76245
= 663 / 345
= 663
Step2:
LCM(3, 402) = 402
GCD(3, 402) = ( 3 x 402 ) / 402
= 3 / 402
= 3
So, Greatest Common Divisor of 663, 345, 402 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 663, 345, 402
The greatest common divisor of numbers 663, 345, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 663, 345, 402 is 3.
1. What is the GCD of 663, 345, 402?
GCD of given numbers 663, 345, 402 is 3
2. How to calculate the greatest common divisor of 663, 345, 402?
We can find the highest common divisor of 663, 345, 402 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, 345, 402 i.e 3.
3. How can I use the GCD of 663, 345, 402Calculator?
Out the numbers 663, 345, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.