Online GCD Calculator is useful to find the GCD of 522, 176, 990, 713 quickly. Get the easiest ways to solve the greatest common divisor of 522, 176, 990, 713 i.e 1 in different methods as follows.
Given Input numbers are 522, 176, 990, 713
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 176 :
The positive integer divisors of 176 that completely divides 176 are.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Divisors of 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 713 :
The positive integer divisors of 713 that completely divides 713 are.
1, 23, 31, 713
GCD of numbers is the greatest common divisor
So, the GCD (522, 176, 990, 713) = 1.
Given numbers are 522, 176, 990, 713
The list of prime factors of all numbers are
Prime factors of 522 are 2 x 3 x 3 x 29
Prime factors of 176 are 2 x 2 x 2 x 2 x 11
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 713 are 23 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 522, 176, 990, 713
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(522, 176) = 45936
GCD(522, 176) = ( 522 x 176 ) / 45936
= 522 / 176
= 522
Step2:
LCM(2, 990) = 990
GCD(2, 990) = ( 2 x 990 ) / 990
= 2 / 990
= 2
Step3:
LCM(2, 713) = 1426
GCD(2, 713) = ( 2 x 713 ) / 1426
= 2 / 713
= 2
So, Greatest Common Divisor of 522, 176, 990, 713 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 522, 176, 990, 713
The greatest common divisor of numbers 522, 176, 990, 713 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 176, 990, 713 is 1.
1. What is the GCD of 522, 176, 990, 713?
GCD of given numbers 522, 176, 990, 713 is 1
2. How to calculate the greatest common divisor of 522, 176, 990, 713?
We can find the highest common divisor of 522, 176, 990, 713 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, 176, 990, 713 i.e 1.
3. How can I use the GCD of 522, 176, 990, 713Calculator?
Out the numbers 522, 176, 990, 713 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.