Online GCD Calculator is useful to find the GCD of 686, 620, 556, 212 quickly. Get the easiest ways to solve the greatest common divisor of 686, 620, 556, 212 i.e 2 in different methods as follows.
Given Input numbers are 686, 620, 556, 212
In the factoring method, we have to find the divisors of all numbers
Divisors of 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 620 :
The positive integer divisors of 620 that completely divides 620 are.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Divisors of 556 :
The positive integer divisors of 556 that completely divides 556 are.
1, 2, 4, 139, 278, 556
Divisors of 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
GCD of numbers is the greatest common divisor
So, the GCD (686, 620, 556, 212) = 2.
Given numbers are 686, 620, 556, 212
The list of prime factors of all numbers are
Prime factors of 686 are 2 x 7 x 7 x 7
Prime factors of 620 are 2 x 2 x 5 x 31
Prime factors of 556 are 2 x 2 x 139
Prime factors of 212 are 2 x 2 x 53
The highest common occurrence is 21
Therefore, GCD of 686, 620, 556, 212 is 2.
Given numbers are 686, 620, 556, 212
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(686, 620) = 212660
GCD(686, 620) = ( 686 x 620 ) / 212660
= 686 / 620
= 686
Step2:
LCM(2, 556) = 556
GCD(2, 556) = ( 2 x 556 ) / 556
= 2 / 556
= 2
Step3:
LCM(2, 212) = 212
GCD(2, 212) = ( 2 x 212 ) / 212
= 2 / 212
= 2
So, Greatest Common Divisor of 686, 620, 556, 212 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 686, 620, 556, 212
The greatest common divisor of numbers 686, 620, 556, 212 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 620, 556, 212 is 2.
1. What is the GCD of 686, 620, 556, 212?
GCD of given numbers 686, 620, 556, 212 is 2
2. How to calculate the greatest common divisor of 686, 620, 556, 212?
We can find the highest common divisor of 686, 620, 556, 212 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 686, 620, 556, 212 i.e 2.
3. How can I use the GCD of 686, 620, 556, 212Calculator?
Out the numbers 686, 620, 556, 212 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.