Online GCD Calculator is useful to find the GCD of 522, 470, 477, 538 quickly. Get the easiest ways to solve the greatest common divisor of 522, 470, 477, 538 i.e 1 in different methods as follows.
Given Input numbers are 522, 470, 477, 538
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 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 477 :
The positive integer divisors of 477 that completely divides 477 are.
1, 3, 9, 53, 159, 477
Divisors of 538 :
The positive integer divisors of 538 that completely divides 538 are.
1, 2, 269, 538
GCD of numbers is the greatest common divisor
So, the GCD (522, 470, 477, 538) = 1.
Given numbers are 522, 470, 477, 538
The list of prime factors of all numbers are
Prime factors of 522 are 2 x 3 x 3 x 29
Prime factors of 470 are 2 x 5 x 47
Prime factors of 477 are 3 x 3 x 53
Prime factors of 538 are 2 x 269
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 522, 470, 477, 538
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(522, 470) = 122670
GCD(522, 470) = ( 522 x 470 ) / 122670
= 522 / 470
= 522
Step2:
LCM(2, 477) = 954
GCD(2, 477) = ( 2 x 477 ) / 954
= 2 / 477
= 2
Step3:
LCM(1, 538) = 538
GCD(1, 538) = ( 1 x 538 ) / 538
= 1 / 538
= 1
So, Greatest Common Divisor of 522, 470, 477, 538 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 522, 470, 477, 538
The greatest common divisor of numbers 522, 470, 477, 538 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 470, 477, 538 is 1.
1. What is the GCD of 522, 470, 477, 538?
GCD of given numbers 522, 470, 477, 538 is 1
2. How to calculate the greatest common divisor of 522, 470, 477, 538?
We can find the highest common divisor of 522, 470, 477, 538 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, 470, 477, 538 i.e 1.
3. How can I use the GCD of 522, 470, 477, 538Calculator?
Out the numbers 522, 470, 477, 538 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.