Online GCD Calculator is useful to find the GCD of 286, 398, 638, 918 quickly. Get the easiest ways to solve the greatest common divisor of 286, 398, 638, 918 i.e 2 in different methods as follows.
Given Input numbers are 286, 398, 638, 918
In the factoring method, we have to find the divisors of all numbers
Divisors of 286 :
The positive integer divisors of 286 that completely divides 286 are.
1, 2, 11, 13, 22, 26, 143, 286
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
Divisors of 638 :
The positive integer divisors of 638 that completely divides 638 are.
1, 2, 11, 22, 29, 58, 319, 638
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
GCD of numbers is the greatest common divisor
So, the GCD (286, 398, 638, 918) = 2.
Given numbers are 286, 398, 638, 918
The list of prime factors of all numbers are
Prime factors of 286 are 2 x 11 x 13
Prime factors of 398 are 2 x 199
Prime factors of 638 are 2 x 11 x 29
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
The highest common occurrence is 21
Therefore, GCD of 286, 398, 638, 918 is 2.
Given numbers are 286, 398, 638, 918
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(286, 398) = 56914
GCD(286, 398) = ( 286 x 398 ) / 56914
= 286 / 398
= 286
Step2:
LCM(2, 638) = 638
GCD(2, 638) = ( 2 x 638 ) / 638
= 2 / 638
= 2
Step3:
LCM(2, 918) = 918
GCD(2, 918) = ( 2 x 918 ) / 918
= 2 / 918
= 2
So, Greatest Common Divisor of 286, 398, 638, 918 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 286, 398, 638, 918
The greatest common divisor of numbers 286, 398, 638, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 286, 398, 638, 918 is 2.
1. What is the GCD of 286, 398, 638, 918?
GCD of given numbers 286, 398, 638, 918 is 2
2. How to calculate the greatest common divisor of 286, 398, 638, 918?
We can find the highest common divisor of 286, 398, 638, 918 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 286, 398, 638, 918 i.e 2.
3. How can I use the GCD of 286, 398, 638, 918Calculator?
Out the numbers 286, 398, 638, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.