Online GCD Calculator is useful to find the GCD of 663, 747, 426, 303 quickly. Get the easiest ways to solve the greatest common divisor of 663, 747, 426, 303 i.e 3 in different methods as follows.
Given Input numbers are 663, 747, 426, 303
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 747 :
The positive integer divisors of 747 that completely divides 747 are.
1, 3, 9, 83, 249, 747
Divisors of 426 :
The positive integer divisors of 426 that completely divides 426 are.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 303 :
The positive integer divisors of 303 that completely divides 303 are.
1, 3, 101, 303
GCD of numbers is the greatest common divisor
So, the GCD (663, 747, 426, 303) = 3.
Given numbers are 663, 747, 426, 303
The list of prime factors of all numbers are
Prime factors of 663 are 3 x 13 x 17
Prime factors of 747 are 3 x 3 x 83
Prime factors of 426 are 2 x 3 x 71
Prime factors of 303 are 3 x 101
The highest common occurrence is 31
Therefore, GCD of 663, 747, 426, 303 is 3.
Given numbers are 663, 747, 426, 303
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(663, 747) = 165087
GCD(663, 747) = ( 663 x 747 ) / 165087
= 663 / 747
= 663
Step2:
LCM(3, 426) = 426
GCD(3, 426) = ( 3 x 426 ) / 426
= 3 / 426
= 3
Step3:
LCM(3, 303) = 303
GCD(3, 303) = ( 3 x 303 ) / 303
= 3 / 303
= 3
So, Greatest Common Divisor of 663, 747, 426, 303 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 663, 747, 426, 303
The greatest common divisor of numbers 663, 747, 426, 303 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 663, 747, 426, 303 is 3.
1. What is the GCD of 663, 747, 426, 303?
GCD of given numbers 663, 747, 426, 303 is 3
2. How to calculate the greatest common divisor of 663, 747, 426, 303?
We can find the highest common divisor of 663, 747, 426, 303 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, 747, 426, 303 i.e 3.
3. How can I use the GCD of 663, 747, 426, 303Calculator?
Out the numbers 663, 747, 426, 303 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.