Online GCD Calculator is useful to find the GCD of 216, 426, 938, 586 quickly. Get the easiest ways to solve the greatest common divisor of 216, 426, 938, 586 i.e 2 in different methods as follows.
Given Input numbers are 216, 426, 938, 586
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 426 :
The positive integer divisors of 426 that completely divides 426 are.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 938 :
The positive integer divisors of 938 that completely divides 938 are.
1, 2, 7, 14, 67, 134, 469, 938
Divisors of 586 :
The positive integer divisors of 586 that completely divides 586 are.
1, 2, 293, 586
GCD of numbers is the greatest common divisor
So, the GCD (216, 426, 938, 586) = 2.
Given numbers are 216, 426, 938, 586
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 426 are 2 x 3 x 71
Prime factors of 938 are 2 x 7 x 67
Prime factors of 586 are 2 x 293
The highest common occurrence is 21
Therefore, GCD of 216, 426, 938, 586 is 2.
Given numbers are 216, 426, 938, 586
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(216, 426) = 15336
GCD(216, 426) = ( 216 x 426 ) / 15336
= 216 / 426
= 216
Step2:
LCM(6, 938) = 2814
GCD(6, 938) = ( 6 x 938 ) / 2814
= 6 / 938
= 6
Step3:
LCM(2, 586) = 586
GCD(2, 586) = ( 2 x 586 ) / 586
= 2 / 586
= 2
So, Greatest Common Divisor of 216, 426, 938, 586 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 216, 426, 938, 586
The greatest common divisor of numbers 216, 426, 938, 586 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 426, 938, 586 is 2.
1. What is the GCD of 216, 426, 938, 586?
GCD of given numbers 216, 426, 938, 586 is 2
2. How to calculate the greatest common divisor of 216, 426, 938, 586?
We can find the highest common divisor of 216, 426, 938, 586 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, 426, 938, 586 i.e 2.
3. How can I use the GCD of 216, 426, 938, 586Calculator?
Out the numbers 216, 426, 938, 586 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.