Online GCD Calculator is useful to find the GCD of 406, 638, 396, 884 quickly. Get the easiest ways to solve the greatest common divisor of 406, 638, 396, 884 i.e 2 in different methods as follows.
Given Input numbers are 406, 638, 396, 884
In the factoring method, we have to find the divisors of all numbers
Divisors of 406 :
The positive integer divisors of 406 that completely divides 406 are.
1, 2, 7, 14, 29, 58, 203, 406
Divisors of 638 :
The positive integer divisors of 638 that completely divides 638 are.
1, 2, 11, 22, 29, 58, 319, 638
Divisors of 396 :
The positive integer divisors of 396 that completely divides 396 are.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 884 :
The positive integer divisors of 884 that completely divides 884 are.
1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
GCD of numbers is the greatest common divisor
So, the GCD (406, 638, 396, 884) = 2.
Given numbers are 406, 638, 396, 884
The list of prime factors of all numbers are
Prime factors of 406 are 2 x 7 x 29
Prime factors of 638 are 2 x 11 x 29
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
Prime factors of 884 are 2 x 2 x 13 x 17
The highest common occurrence is 21
Therefore, GCD of 406, 638, 396, 884 is 2.
Given numbers are 406, 638, 396, 884
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(406, 638) = 4466
GCD(406, 638) = ( 406 x 638 ) / 4466
= 406 / 638
= 406
Step2:
LCM(58, 396) = 11484
GCD(58, 396) = ( 58 x 396 ) / 11484
= 58 / 396
= 58
Step3:
LCM(2, 884) = 884
GCD(2, 884) = ( 2 x 884 ) / 884
= 2 / 884
= 2
So, Greatest Common Divisor of 406, 638, 396, 884 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 406, 638, 396, 884
The greatest common divisor of numbers 406, 638, 396, 884 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 406, 638, 396, 884 is 2.
1. What is the GCD of 406, 638, 396, 884?
GCD of given numbers 406, 638, 396, 884 is 2
2. How to calculate the greatest common divisor of 406, 638, 396, 884?
We can find the highest common divisor of 406, 638, 396, 884 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 406, 638, 396, 884 i.e 2.
3. How can I use the GCD of 406, 638, 396, 884Calculator?
Out the numbers 406, 638, 396, 884 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.