Online GCD Calculator is useful to find the GCD of 522, 320, 492, 958 quickly. Get the easiest ways to solve the greatest common divisor of 522, 320, 492, 958 i.e 2 in different methods as follows.
Given Input numbers are 522, 320, 492, 958
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 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 492 :
The positive integer divisors of 492 that completely divides 492 are.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Divisors of 958 :
The positive integer divisors of 958 that completely divides 958 are.
1, 2, 479, 958
GCD of numbers is the greatest common divisor
So, the GCD (522, 320, 492, 958) = 2.
Given numbers are 522, 320, 492, 958
The list of prime factors of all numbers are
Prime factors of 522 are 2 x 3 x 3 x 29
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 492 are 2 x 2 x 3 x 41
Prime factors of 958 are 2 x 479
The highest common occurrence is 21
Therefore, GCD of 522, 320, 492, 958 is 2.
Given numbers are 522, 320, 492, 958
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(522, 320) = 83520
GCD(522, 320) = ( 522 x 320 ) / 83520
= 522 / 320
= 522
Step2:
LCM(2, 492) = 492
GCD(2, 492) = ( 2 x 492 ) / 492
= 2 / 492
= 2
Step3:
LCM(2, 958) = 958
GCD(2, 958) = ( 2 x 958 ) / 958
= 2 / 958
= 2
So, Greatest Common Divisor of 522, 320, 492, 958 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 522, 320, 492, 958
The greatest common divisor of numbers 522, 320, 492, 958 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 320, 492, 958 is 2.
1. What is the GCD of 522, 320, 492, 958?
GCD of given numbers 522, 320, 492, 958 is 2
2. How to calculate the greatest common divisor of 522, 320, 492, 958?
We can find the highest common divisor of 522, 320, 492, 958 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, 320, 492, 958 i.e 2.
3. How can I use the GCD of 522, 320, 492, 958Calculator?
Out the numbers 522, 320, 492, 958 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.