Online GCD Calculator is useful to find the GCD of 522, 303, 528, 243 quickly. Get the easiest ways to solve the greatest common divisor of 522, 303, 528, 243 i.e 3 in different methods as follows.
Given Input numbers are 522, 303, 528, 243
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 303 :
The positive integer divisors of 303 that completely divides 303 are.
1, 3, 101, 303
Divisors of 528 :
The positive integer divisors of 528 that completely divides 528 are.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
Divisors of 243 :
The positive integer divisors of 243 that completely divides 243 are.
1, 3, 9, 27, 81, 243
GCD of numbers is the greatest common divisor
So, the GCD (522, 303, 528, 243) = 3.
Given numbers are 522, 303, 528, 243
The list of prime factors of all numbers are
Prime factors of 522 are 2 x 3 x 3 x 29
Prime factors of 303 are 3 x 101
Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11
Prime factors of 243 are 3 x 3 x 3 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 522, 303, 528, 243 is 3.
Given numbers are 522, 303, 528, 243
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(522, 303) = 52722
GCD(522, 303) = ( 522 x 303 ) / 52722
= 522 / 303
= 522
Step2:
LCM(3, 528) = 528
GCD(3, 528) = ( 3 x 528 ) / 528
= 3 / 528
= 3
Step3:
LCM(3, 243) = 243
GCD(3, 243) = ( 3 x 243 ) / 243
= 3 / 243
= 3
So, Greatest Common Divisor of 522, 303, 528, 243 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 522, 303, 528, 243
The greatest common divisor of numbers 522, 303, 528, 243 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 303, 528, 243 is 3.
1. What is the GCD of 522, 303, 528, 243?
GCD of given numbers 522, 303, 528, 243 is 3
2. How to calculate the greatest common divisor of 522, 303, 528, 243?
We can find the highest common divisor of 522, 303, 528, 243 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, 303, 528, 243 i.e 3.
3. How can I use the GCD of 522, 303, 528, 243Calculator?
Out the numbers 522, 303, 528, 243 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.