Online GCD Calculator is useful to find the GCD of 342, 856, 696, 522 quickly. Get the easiest ways to solve the greatest common divisor of 342, 856, 696, 522 i.e 2 in different methods as follows.
Given Input numbers are 342, 856, 696, 522
In the factoring method, we have to find the divisors of all numbers
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 856 :
The positive integer divisors of 856 that completely divides 856 are.
1, 2, 4, 8, 107, 214, 428, 856
Divisors of 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
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
GCD of numbers is the greatest common divisor
So, the GCD (342, 856, 696, 522) = 2.
Given numbers are 342, 856, 696, 522
The list of prime factors of all numbers are
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 856 are 2 x 2 x 2 x 107
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 522 are 2 x 3 x 3 x 29
The highest common occurrence is 21
Therefore, GCD of 342, 856, 696, 522 is 2.
Given numbers are 342, 856, 696, 522
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(342, 856) = 146376
GCD(342, 856) = ( 342 x 856 ) / 146376
= 342 / 856
= 342
Step2:
LCM(2, 696) = 696
GCD(2, 696) = ( 2 x 696 ) / 696
= 2 / 696
= 2
Step3:
LCM(2, 522) = 522
GCD(2, 522) = ( 2 x 522 ) / 522
= 2 / 522
= 2
So, Greatest Common Divisor of 342, 856, 696, 522 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 342, 856, 696, 522
The greatest common divisor of numbers 342, 856, 696, 522 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 856, 696, 522 is 2.
1. What is the GCD of 342, 856, 696, 522?
GCD of given numbers 342, 856, 696, 522 is 2
2. How to calculate the greatest common divisor of 342, 856, 696, 522?
We can find the highest common divisor of 342, 856, 696, 522 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 342, 856, 696, 522 i.e 2.
3. How can I use the GCD of 342, 856, 696, 522Calculator?
Out the numbers 342, 856, 696, 522 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.