Online GCD Calculator is useful to find the GCD of 216, 370, 686 quickly. Get the easiest ways to solve the greatest common divisor of 216, 370, 686 i.e 2 in different methods as follows.
Given Input numbers are 216, 370, 686
In the factoring method, we have to find the divisors of all numbers
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 370 :
The positive integer divisors of 370 that completely divides 370 are.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
GCD of numbers is the greatest common divisor
So, the GCD (216, 370, 686) = 2.
Given numbers are 216, 370, 686
The list of prime factors of all numbers are
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 370 are 2 x 5 x 37
Prime factors of 686 are 2 x 7 x 7 x 7
The highest common occurrence is 21
Therefore, GCD of 216, 370, 686 is 2.
Given numbers are 216, 370, 686
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(216, 370) = 39960
GCD(216, 370) = ( 216 x 370 ) / 39960
= 216 / 370
= 216
Step2:
LCM(2, 686) = 686
GCD(2, 686) = ( 2 x 686 ) / 686
= 2 / 686
= 2
So, Greatest Common Divisor of 216, 370, 686 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 216, 370, 686
The greatest common divisor of numbers 216, 370, 686 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 370, 686 is 2.
1. What is the GCD of 216, 370, 686?
GCD of given numbers 216, 370, 686 is 2
2. How to calculate the greatest common divisor of 216, 370, 686?
We can find the highest common divisor of 216, 370, 686 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 216, 370, 686 i.e 2.
3. How can I use the GCD of 216, 370, 686Calculator?
Out the numbers 216, 370, 686 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.