Online GCD Calculator is useful to find the GCD of 918, 438, 214, 626 quickly. Get the easiest ways to solve the greatest common divisor of 918, 438, 214, 626 i.e 2 in different methods as follows.
Given Input numbers are 918, 438, 214, 626
In the factoring method, we have to find the divisors of all numbers
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
Divisors of 626 :
The positive integer divisors of 626 that completely divides 626 are.
1, 2, 313, 626
GCD of numbers is the greatest common divisor
So, the GCD (918, 438, 214, 626) = 2.
Given numbers are 918, 438, 214, 626
The list of prime factors of all numbers are
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
Prime factors of 438 are 2 x 3 x 73
Prime factors of 214 are 2 x 107
Prime factors of 626 are 2 x 313
The highest common occurrence is 21
Therefore, GCD of 918, 438, 214, 626 is 2.
Given numbers are 918, 438, 214, 626
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(918, 438) = 67014
GCD(918, 438) = ( 918 x 438 ) / 67014
= 918 / 438
= 918
Step2:
LCM(6, 214) = 642
GCD(6, 214) = ( 6 x 214 ) / 642
= 6 / 214
= 6
Step3:
LCM(2, 626) = 626
GCD(2, 626) = ( 2 x 626 ) / 626
= 2 / 626
= 2
So, Greatest Common Divisor of 918, 438, 214, 626 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 918, 438, 214, 626
The greatest common divisor of numbers 918, 438, 214, 626 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 438, 214, 626 is 2.
1. What is the GCD of 918, 438, 214, 626?
GCD of given numbers 918, 438, 214, 626 is 2
2. How to calculate the greatest common divisor of 918, 438, 214, 626?
We can find the highest common divisor of 918, 438, 214, 626 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 918, 438, 214, 626 i.e 2.
3. How can I use the GCD of 918, 438, 214, 626Calculator?
Out the numbers 918, 438, 214, 626 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.