Online GCD Calculator is useful to find the GCD of 720, 330, 606, 264 quickly. Get the easiest ways to solve the greatest common divisor of 720, 330, 606, 264 i.e 6 in different methods as follows.
Given Input numbers are 720, 330, 606, 264
In the factoring method, we have to find the divisors of all numbers
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 330 :
The positive integer divisors of 330 that completely divides 330 are.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
Divisors of 606 :
The positive integer divisors of 606 that completely divides 606 are.
1, 2, 3, 6, 101, 202, 303, 606
Divisors of 264 :
The positive integer divisors of 264 that completely divides 264 are.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
GCD of numbers is the greatest common divisor
So, the GCD (720, 330, 606, 264) = 6.
Given numbers are 720, 330, 606, 264
The list of prime factors of all numbers are
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 330 are 2 x 3 x 5 x 11
Prime factors of 606 are 2 x 3 x 101
Prime factors of 264 are 2 x 2 x 2 x 3 x 11
The highest common occurrence is 21 x 31
Therefore, GCD of 720, 330, 606, 264 is 6.
Given numbers are 720, 330, 606, 264
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(720, 330) = 7920
GCD(720, 330) = ( 720 x 330 ) / 7920
= 720 / 330
= 720
Step2:
LCM(30, 606) = 3030
GCD(30, 606) = ( 30 x 606 ) / 3030
= 30 / 606
= 30
Step3:
LCM(6, 264) = 264
GCD(6, 264) = ( 6 x 264 ) / 264
= 6 / 264
= 6
So, Greatest Common Divisor of 720, 330, 606, 264 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 720, 330, 606, 264
The greatest common divisor of numbers 720, 330, 606, 264 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 330, 606, 264 is 6.
1. What is the GCD of 720, 330, 606, 264?
GCD of given numbers 720, 330, 606, 264 is 6
2. How to calculate the greatest common divisor of 720, 330, 606, 264?
We can find the highest common divisor of 720, 330, 606, 264 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 720, 330, 606, 264 i.e 6.
3. How can I use the GCD of 720, 330, 606, 264Calculator?
Out the numbers 720, 330, 606, 264 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.