Online GCD Calculator is useful to find the GCD of 494, 512, 138, 422 quickly. Get the easiest ways to solve the greatest common divisor of 494, 512, 138, 422 i.e 2 in different methods as follows.
Given Input numbers are 494, 512, 138, 422
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 512 :
The positive integer divisors of 512 that completely divides 512 are.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
GCD of numbers is the greatest common divisor
So, the GCD (494, 512, 138, 422) = 2.
Given numbers are 494, 512, 138, 422
The list of prime factors of all numbers are
Prime factors of 494 are 2 x 13 x 19
Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime factors of 138 are 2 x 3 x 23
Prime factors of 422 are 2 x 211
The highest common occurrence is 21
Therefore, GCD of 494, 512, 138, 422 is 2.
Given numbers are 494, 512, 138, 422
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(494, 512) = 126464
GCD(494, 512) = ( 494 x 512 ) / 126464
= 494 / 512
= 494
Step2:
LCM(2, 138) = 138
GCD(2, 138) = ( 2 x 138 ) / 138
= 2 / 138
= 2
Step3:
LCM(2, 422) = 422
GCD(2, 422) = ( 2 x 422 ) / 422
= 2 / 422
= 2
So, Greatest Common Divisor of 494, 512, 138, 422 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 494, 512, 138, 422
The greatest common divisor of numbers 494, 512, 138, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 512, 138, 422 is 2.
1. What is the GCD of 494, 512, 138, 422?
GCD of given numbers 494, 512, 138, 422 is 2
2. How to calculate the greatest common divisor of 494, 512, 138, 422?
We can find the highest common divisor of 494, 512, 138, 422 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, 512, 138, 422 i.e 2.
3. How can I use the GCD of 494, 512, 138, 422Calculator?
Out the numbers 494, 512, 138, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.