Online GCD Calculator is useful to find the GCD of 494, 898, 424, 108 quickly. Get the easiest ways to solve the greatest common divisor of 494, 898, 424, 108 i.e 2 in different methods as follows.
Given Input numbers are 494, 898, 424, 108
In the factoring method, we have to find the divisors of all numbers
Divisors of 494 :
The positive integer divisors of 494 that completely divides 494 are.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 898 :
The positive integer divisors of 898 that completely divides 898 are.
1, 2, 449, 898
Divisors of 424 :
The positive integer divisors of 424 that completely divides 424 are.
1, 2, 4, 8, 53, 106, 212, 424
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
GCD of numbers is the greatest common divisor
So, the GCD (494, 898, 424, 108) = 2.
Given numbers are 494, 898, 424, 108
The list of prime factors of all numbers are
Prime factors of 494 are 2 x 13 x 19
Prime factors of 898 are 2 x 449
Prime factors of 424 are 2 x 2 x 2 x 53
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 494, 898, 424, 108 is 2.
Given numbers are 494, 898, 424, 108
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(494, 898) = 221806
GCD(494, 898) = ( 494 x 898 ) / 221806
= 494 / 898
= 494
Step2:
LCM(2, 424) = 424
GCD(2, 424) = ( 2 x 424 ) / 424
= 2 / 424
= 2
Step3:
LCM(2, 108) = 108
GCD(2, 108) = ( 2 x 108 ) / 108
= 2 / 108
= 2
So, Greatest Common Divisor of 494, 898, 424, 108 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 494, 898, 424, 108
The greatest common divisor of numbers 494, 898, 424, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 898, 424, 108 is 2.
1. What is the GCD of 494, 898, 424, 108?
GCD of given numbers 494, 898, 424, 108 is 2
2. How to calculate the greatest common divisor of 494, 898, 424, 108?
We can find the highest common divisor of 494, 898, 424, 108 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 494, 898, 424, 108 i.e 2.
3. How can I use the GCD of 494, 898, 424, 108Calculator?
Out the numbers 494, 898, 424, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.