Online GCD Calculator is useful to find the GCD of 522, 349, 916, 364 quickly. Get the easiest ways to solve the greatest common divisor of 522, 349, 916, 364 i.e 1 in different methods as follows.
Given Input numbers are 522, 349, 916, 364
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 349 :
The positive integer divisors of 349 that completely divides 349 are.
1, 349
Divisors of 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
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
GCD of numbers is the greatest common divisor
So, the GCD (522, 349, 916, 364) = 1.
Given numbers are 522, 349, 916, 364
The list of prime factors of all numbers are
Prime factors of 522 are 2 x 3 x 3 x 29
Prime factors of 349 are 349
Prime factors of 916 are 2 x 2 x 229
Prime factors of 364 are 2 x 2 x 7 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 522, 349, 916, 364
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(522, 349) = 182178
GCD(522, 349) = ( 522 x 349 ) / 182178
= 522 / 349
= 522
Step2:
LCM(1, 916) = 916
GCD(1, 916) = ( 1 x 916 ) / 916
= 1 / 916
= 1
Step3:
LCM(1, 364) = 364
GCD(1, 364) = ( 1 x 364 ) / 364
= 1 / 364
= 1
So, Greatest Common Divisor of 522, 349, 916, 364 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 522, 349, 916, 364
The greatest common divisor of numbers 522, 349, 916, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 349, 916, 364 is 1.
1. What is the GCD of 522, 349, 916, 364?
GCD of given numbers 522, 349, 916, 364 is 1
2. How to calculate the greatest common divisor of 522, 349, 916, 364?
We can find the highest common divisor of 522, 349, 916, 364 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, 349, 916, 364 i.e 1.
3. How can I use the GCD of 522, 349, 916, 364Calculator?
Out the numbers 522, 349, 916, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.