Online GCD Calculator is useful to find the GCD of 522, 717, 480, 660 quickly. Get the easiest ways to solve the greatest common divisor of 522, 717, 480, 660 i.e 3 in different methods as follows.
Given Input numbers are 522, 717, 480, 660
In the factoring method, we have to find the divisors of all numbers
Divisors of 522 :
The positive integer divisors of 522 that completely divides 522 are.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
Divisors of 717 :
The positive integer divisors of 717 that completely divides 717 are.
1, 3, 239, 717
Divisors of 480 :
The positive integer divisors of 480 that completely divides 480 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
GCD of numbers is the greatest common divisor
So, the GCD (522, 717, 480, 660) = 3.
Given numbers are 522, 717, 480, 660
The list of prime factors of all numbers are
Prime factors of 522 are 2 x 3 x 3 x 29
Prime factors of 717 are 3 x 239
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
The highest common occurrence is 31
Therefore, GCD of 522, 717, 480, 660 is 3.
Given numbers are 522, 717, 480, 660
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(522, 717) = 124758
GCD(522, 717) = ( 522 x 717 ) / 124758
= 522 / 717
= 522
Step2:
LCM(3, 480) = 480
GCD(3, 480) = ( 3 x 480 ) / 480
= 3 / 480
= 3
Step3:
LCM(3, 660) = 660
GCD(3, 660) = ( 3 x 660 ) / 660
= 3 / 660
= 3
So, Greatest Common Divisor of 522, 717, 480, 660 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 522, 717, 480, 660
The greatest common divisor of numbers 522, 717, 480, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 717, 480, 660 is 3.
1. What is the GCD of 522, 717, 480, 660?
GCD of given numbers 522, 717, 480, 660 is 3
2. How to calculate the greatest common divisor of 522, 717, 480, 660?
We can find the highest common divisor of 522, 717, 480, 660 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 522, 717, 480, 660 i.e 3.
3. How can I use the GCD of 522, 717, 480, 660Calculator?
Out the numbers 522, 717, 480, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.