Online GCD Calculator is useful to find the GCD of 398, 426, 212, 986 quickly. Get the easiest ways to solve the greatest common divisor of 398, 426, 212, 986 i.e 2 in different methods as follows.
Given Input numbers are 398, 426, 212, 986
In the factoring method, we have to find the divisors of all numbers
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
Divisors of 426 :
The positive integer divisors of 426 that completely divides 426 are.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
Divisors of 986 :
The positive integer divisors of 986 that completely divides 986 are.
1, 2, 17, 29, 34, 58, 493, 986
GCD of numbers is the greatest common divisor
So, the GCD (398, 426, 212, 986) = 2.
Given numbers are 398, 426, 212, 986
The list of prime factors of all numbers are
Prime factors of 398 are 2 x 199
Prime factors of 426 are 2 x 3 x 71
Prime factors of 212 are 2 x 2 x 53
Prime factors of 986 are 2 x 17 x 29
The highest common occurrence is 21
Therefore, GCD of 398, 426, 212, 986 is 2.
Given numbers are 398, 426, 212, 986
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(398, 426) = 84774
GCD(398, 426) = ( 398 x 426 ) / 84774
= 398 / 426
= 398
Step2:
LCM(2, 212) = 212
GCD(2, 212) = ( 2 x 212 ) / 212
= 2 / 212
= 2
Step3:
LCM(2, 986) = 986
GCD(2, 986) = ( 2 x 986 ) / 986
= 2 / 986
= 2
So, Greatest Common Divisor of 398, 426, 212, 986 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 398, 426, 212, 986
The greatest common divisor of numbers 398, 426, 212, 986 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 426, 212, 986 is 2.
1. What is the GCD of 398, 426, 212, 986?
GCD of given numbers 398, 426, 212, 986 is 2
2. How to calculate the greatest common divisor of 398, 426, 212, 986?
We can find the highest common divisor of 398, 426, 212, 986 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 398, 426, 212, 986 i.e 2.
3. How can I use the GCD of 398, 426, 212, 986Calculator?
Out the numbers 398, 426, 212, 986 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.