Online GCD Calculator is useful to find the GCD of 494, 508, 338, 392 quickly. Get the easiest ways to solve the greatest common divisor of 494, 508, 338, 392 i.e 2 in different methods as follows.
Given Input numbers are 494, 508, 338, 392
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 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
Divisors of 392 :
The positive integer divisors of 392 that completely divides 392 are.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
GCD of numbers is the greatest common divisor
So, the GCD (494, 508, 338, 392) = 2.
Given numbers are 494, 508, 338, 392
The list of prime factors of all numbers are
Prime factors of 494 are 2 x 13 x 19
Prime factors of 508 are 2 x 2 x 127
Prime factors of 338 are 2 x 13 x 13
Prime factors of 392 are 2 x 2 x 2 x 7 x 7
The highest common occurrence is 21
Therefore, GCD of 494, 508, 338, 392 is 2.
Given numbers are 494, 508, 338, 392
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(494, 508) = 125476
GCD(494, 508) = ( 494 x 508 ) / 125476
= 494 / 508
= 494
Step2:
LCM(2, 338) = 338
GCD(2, 338) = ( 2 x 338 ) / 338
= 2 / 338
= 2
Step3:
LCM(2, 392) = 392
GCD(2, 392) = ( 2 x 392 ) / 392
= 2 / 392
= 2
So, Greatest Common Divisor of 494, 508, 338, 392 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 494, 508, 338, 392
The greatest common divisor of numbers 494, 508, 338, 392 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 508, 338, 392 is 2.
1. What is the GCD of 494, 508, 338, 392?
GCD of given numbers 494, 508, 338, 392 is 2
2. How to calculate the greatest common divisor of 494, 508, 338, 392?
We can find the highest common divisor of 494, 508, 338, 392 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, 508, 338, 392 i.e 2.
3. How can I use the GCD of 494, 508, 338, 392Calculator?
Out the numbers 494, 508, 338, 392 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.