Online GCD Calculator is useful to find the GCD of 618, 364, 828, 522 quickly. Get the easiest ways to solve the greatest common divisor of 618, 364, 828, 522 i.e 2 in different methods as follows.
Given Input numbers are 618, 364, 828, 522
In the factoring method, we have to find the divisors of all numbers
Divisors of 618 :
The positive integer divisors of 618 that completely divides 618 are.
1, 2, 3, 6, 103, 206, 309, 618
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
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
GCD of numbers is the greatest common divisor
So, the GCD (618, 364, 828, 522) = 2.
Given numbers are 618, 364, 828, 522
The list of prime factors of all numbers are
Prime factors of 618 are 2 x 3 x 103
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 522 are 2 x 3 x 3 x 29
The highest common occurrence is 21
Therefore, GCD of 618, 364, 828, 522 is 2.
Given numbers are 618, 364, 828, 522
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(618, 364) = 112476
GCD(618, 364) = ( 618 x 364 ) / 112476
= 618 / 364
= 618
Step2:
LCM(2, 828) = 828
GCD(2, 828) = ( 2 x 828 ) / 828
= 2 / 828
= 2
Step3:
LCM(2, 522) = 522
GCD(2, 522) = ( 2 x 522 ) / 522
= 2 / 522
= 2
So, Greatest Common Divisor of 618, 364, 828, 522 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 618, 364, 828, 522
The greatest common divisor of numbers 618, 364, 828, 522 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 618, 364, 828, 522 is 2.
1. What is the GCD of 618, 364, 828, 522?
GCD of given numbers 618, 364, 828, 522 is 2
2. How to calculate the greatest common divisor of 618, 364, 828, 522?
We can find the highest common divisor of 618, 364, 828, 522 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 618, 364, 828, 522 i.e 2.
3. How can I use the GCD of 618, 364, 828, 522Calculator?
Out the numbers 618, 364, 828, 522 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.