Online GCD Calculator is useful to find the GCD of 522, 618, 512, 852 quickly. Get the easiest ways to solve the greatest common divisor of 522, 618, 512, 852 i.e 2 in different methods as follows.
Given Input numbers are 522, 618, 512, 852
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 618 :
The positive integer divisors of 618 that completely divides 618 are.
1, 2, 3, 6, 103, 206, 309, 618
Divisors of 512 :
The positive integer divisors of 512 that completely divides 512 are.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
Divisors of 852 :
The positive integer divisors of 852 that completely divides 852 are.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
GCD of numbers is the greatest common divisor
So, the GCD (522, 618, 512, 852) = 2.
Given numbers are 522, 618, 512, 852
The list of prime factors of all numbers are
Prime factors of 522 are 2 x 3 x 3 x 29
Prime factors of 618 are 2 x 3 x 103
Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime factors of 852 are 2 x 2 x 3 x 71
The highest common occurrence is 21
Therefore, GCD of 522, 618, 512, 852 is 2.
Given numbers are 522, 618, 512, 852
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(522, 618) = 53766
GCD(522, 618) = ( 522 x 618 ) / 53766
= 522 / 618
= 522
Step2:
LCM(6, 512) = 1536
GCD(6, 512) = ( 6 x 512 ) / 1536
= 6 / 512
= 6
Step3:
LCM(2, 852) = 852
GCD(2, 852) = ( 2 x 852 ) / 852
= 2 / 852
= 2
So, Greatest Common Divisor of 522, 618, 512, 852 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 522, 618, 512, 852
The greatest common divisor of numbers 522, 618, 512, 852 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 618, 512, 852 is 2.
1. What is the GCD of 522, 618, 512, 852?
GCD of given numbers 522, 618, 512, 852 is 2
2. How to calculate the greatest common divisor of 522, 618, 512, 852?
We can find the highest common divisor of 522, 618, 512, 852 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, 618, 512, 852 i.e 2.
3. How can I use the GCD of 522, 618, 512, 852Calculator?
Out the numbers 522, 618, 512, 852 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.