Online GCD Calculator is useful to find the GCD of 212, 696, 586, 168 quickly. Get the easiest ways to solve the greatest common divisor of 212, 696, 586, 168 i.e 2 in different methods as follows.
Given Input numbers are 212, 696, 586, 168
In the factoring method, we have to find the divisors of all numbers
Divisors of 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
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 586 :
The positive integer divisors of 586 that completely divides 586 are.
1, 2, 293, 586
Divisors of 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
GCD of numbers is the greatest common divisor
So, the GCD (212, 696, 586, 168) = 2.
Given numbers are 212, 696, 586, 168
The list of prime factors of all numbers are
Prime factors of 212 are 2 x 2 x 53
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 586 are 2 x 293
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 212, 696, 586, 168 is 2.
Given numbers are 212, 696, 586, 168
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(212, 696) = 36888
GCD(212, 696) = ( 212 x 696 ) / 36888
= 212 / 696
= 212
Step2:
LCM(4, 586) = 1172
GCD(4, 586) = ( 4 x 586 ) / 1172
= 4 / 586
= 4
Step3:
LCM(2, 168) = 168
GCD(2, 168) = ( 2 x 168 ) / 168
= 2 / 168
= 2
So, Greatest Common Divisor of 212, 696, 586, 168 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 212, 696, 586, 168
The greatest common divisor of numbers 212, 696, 586, 168 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 212, 696, 586, 168 is 2.
1. What is the GCD of 212, 696, 586, 168?
GCD of given numbers 212, 696, 586, 168 is 2
2. How to calculate the greatest common divisor of 212, 696, 586, 168?
We can find the highest common divisor of 212, 696, 586, 168 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 212, 696, 586, 168 i.e 2.
3. How can I use the GCD of 212, 696, 586, 168Calculator?
Out the numbers 212, 696, 586, 168 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.