Online GCD Calculator is useful to find the GCD of 522, 520, 844, 162 quickly. Get the easiest ways to solve the greatest common divisor of 522, 520, 844, 162 i.e 2 in different methods as follows.
Given Input numbers are 522, 520, 844, 162
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 520 :
The positive integer divisors of 520 that completely divides 520 are.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 844 :
The positive integer divisors of 844 that completely divides 844 are.
1, 2, 4, 211, 422, 844
Divisors of 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
GCD of numbers is the greatest common divisor
So, the GCD (522, 520, 844, 162) = 2.
Given numbers are 522, 520, 844, 162
The list of prime factors of all numbers are
Prime factors of 522 are 2 x 3 x 3 x 29
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
Prime factors of 844 are 2 x 2 x 211
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 522, 520, 844, 162 is 2.
Given numbers are 522, 520, 844, 162
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(522, 520) = 135720
GCD(522, 520) = ( 522 x 520 ) / 135720
= 522 / 520
= 522
Step2:
LCM(2, 844) = 844
GCD(2, 844) = ( 2 x 844 ) / 844
= 2 / 844
= 2
Step3:
LCM(2, 162) = 162
GCD(2, 162) = ( 2 x 162 ) / 162
= 2 / 162
= 2
So, Greatest Common Divisor of 522, 520, 844, 162 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 522, 520, 844, 162
The greatest common divisor of numbers 522, 520, 844, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 520, 844, 162 is 2.
1. What is the GCD of 522, 520, 844, 162?
GCD of given numbers 522, 520, 844, 162 is 2
2. How to calculate the greatest common divisor of 522, 520, 844, 162?
We can find the highest common divisor of 522, 520, 844, 162 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, 520, 844, 162 i.e 2.
3. How can I use the GCD of 522, 520, 844, 162Calculator?
Out the numbers 522, 520, 844, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.