Online GCD Calculator is useful to find the GCD of 522, 855, 369, 981 quickly. Get the easiest ways to solve the greatest common divisor of 522, 855, 369, 981 i.e 9 in different methods as follows.
Given Input numbers are 522, 855, 369, 981
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 855 :
The positive integer divisors of 855 that completely divides 855 are.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Divisors of 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
Divisors of 981 :
The positive integer divisors of 981 that completely divides 981 are.
1, 3, 9, 109, 327, 981
GCD of numbers is the greatest common divisor
So, the GCD (522, 855, 369, 981) = 9.
Given numbers are 522, 855, 369, 981
The list of prime factors of all numbers are
Prime factors of 522 are 2 x 3 x 3 x 29
Prime factors of 855 are 3 x 3 x 5 x 19
Prime factors of 369 are 3 x 3 x 41
Prime factors of 981 are 3 x 3 x 109
The highest common occurrence is 32
Therefore, GCD of 522, 855, 369, 981 is 9.
Given numbers are 522, 855, 369, 981
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(522, 855) = 49590
GCD(522, 855) = ( 522 x 855 ) / 49590
= 522 / 855
= 522
Step2:
LCM(9, 369) = 369
GCD(9, 369) = ( 9 x 369 ) / 369
= 9 / 369
= 9
Step3:
LCM(9, 981) = 981
GCD(9, 981) = ( 9 x 981 ) / 981
= 9 / 981
= 9
So, Greatest Common Divisor of 522, 855, 369, 981 is 9
Here are some samples of GCD of Numbers calculations.
Given numbers are 522, 855, 369, 981
The greatest common divisor of numbers 522, 855, 369, 981 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 855, 369, 981 is 9.
1. What is the GCD of 522, 855, 369, 981?
GCD of given numbers 522, 855, 369, 981 is 9
2. How to calculate the greatest common divisor of 522, 855, 369, 981?
We can find the highest common divisor of 522, 855, 369, 981 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, 855, 369, 981 i.e 9.
3. How can I use the GCD of 522, 855, 369, 981Calculator?
Out the numbers 522, 855, 369, 981 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.