Online GCD Calculator is useful to find the GCD of 522, 452, 428, 832 quickly. Get the easiest ways to solve the greatest common divisor of 522, 452, 428, 832 i.e 2 in different methods as follows.
Given Input numbers are 522, 452, 428, 832
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 452 :
The positive integer divisors of 452 that completely divides 452 are.
1, 2, 4, 113, 226, 452
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
Divisors of 832 :
The positive integer divisors of 832 that completely divides 832 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
GCD of numbers is the greatest common divisor
So, the GCD (522, 452, 428, 832) = 2.
Given numbers are 522, 452, 428, 832
The list of prime factors of all numbers are
Prime factors of 522 are 2 x 3 x 3 x 29
Prime factors of 452 are 2 x 2 x 113
Prime factors of 428 are 2 x 2 x 107
Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13
The highest common occurrence is 21
Therefore, GCD of 522, 452, 428, 832 is 2.
Given numbers are 522, 452, 428, 832
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(522, 452) = 117972
GCD(522, 452) = ( 522 x 452 ) / 117972
= 522 / 452
= 522
Step2:
LCM(2, 428) = 428
GCD(2, 428) = ( 2 x 428 ) / 428
= 2 / 428
= 2
Step3:
LCM(2, 832) = 832
GCD(2, 832) = ( 2 x 832 ) / 832
= 2 / 832
= 2
So, Greatest Common Divisor of 522, 452, 428, 832 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 522, 452, 428, 832
The greatest common divisor of numbers 522, 452, 428, 832 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 452, 428, 832 is 2.
1. What is the GCD of 522, 452, 428, 832?
GCD of given numbers 522, 452, 428, 832 is 2
2. How to calculate the greatest common divisor of 522, 452, 428, 832?
We can find the highest common divisor of 522, 452, 428, 832 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, 452, 428, 832 i.e 2.
3. How can I use the GCD of 522, 452, 428, 832Calculator?
Out the numbers 522, 452, 428, 832 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.