Online GCD Calculator is useful to find the GCD of 477, 522, 459, 210 quickly. Get the easiest ways to solve the greatest common divisor of 477, 522, 459, 210 i.e 3 in different methods as follows.
Given Input numbers are 477, 522, 459, 210
In the factoring method, we have to find the divisors of all numbers
Divisors of 477 :
The positive integer divisors of 477 that completely divides 477 are.
1, 3, 9, 53, 159, 477
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 459 :
The positive integer divisors of 459 that completely divides 459 are.
1, 3, 9, 17, 27, 51, 153, 459
Divisors of 210 :
The positive integer divisors of 210 that completely divides 210 are.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
GCD of numbers is the greatest common divisor
So, the GCD (477, 522, 459, 210) = 3.
Given numbers are 477, 522, 459, 210
The list of prime factors of all numbers are
Prime factors of 477 are 3 x 3 x 53
Prime factors of 522 are 2 x 3 x 3 x 29
Prime factors of 459 are 3 x 3 x 3 x 17
Prime factors of 210 are 2 x 3 x 5 x 7
The highest common occurrence is 31
Therefore, GCD of 477, 522, 459, 210 is 3.
Given numbers are 477, 522, 459, 210
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(477, 522) = 27666
GCD(477, 522) = ( 477 x 522 ) / 27666
= 477 / 522
= 477
Step2:
LCM(9, 459) = 459
GCD(9, 459) = ( 9 x 459 ) / 459
= 9 / 459
= 9
Step3:
LCM(9, 210) = 630
GCD(9, 210) = ( 9 x 210 ) / 630
= 9 / 210
= 9
So, Greatest Common Divisor of 477, 522, 459, 210 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 477, 522, 459, 210
The greatest common divisor of numbers 477, 522, 459, 210 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 477, 522, 459, 210 is 3.
1. What is the GCD of 477, 522, 459, 210?
GCD of given numbers 477, 522, 459, 210 is 3
2. How to calculate the greatest common divisor of 477, 522, 459, 210?
We can find the highest common divisor of 477, 522, 459, 210 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 477, 522, 459, 210 i.e 3.
3. How can I use the GCD of 477, 522, 459, 210Calculator?
Out the numbers 477, 522, 459, 210 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.