Online GCD Calculator is useful to find the GCD of 508, 470, 494, 644 quickly. Get the easiest ways to solve the greatest common divisor of 508, 470, 494, 644 i.e 2 in different methods as follows.
Given Input numbers are 508, 470, 494, 644
In the factoring method, we have to find the divisors of all numbers
Divisors of 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
Divisors of 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 494 :
The positive integer divisors of 494 that completely divides 494 are.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 644 :
The positive integer divisors of 644 that completely divides 644 are.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
GCD of numbers is the greatest common divisor
So, the GCD (508, 470, 494, 644) = 2.
Given numbers are 508, 470, 494, 644
The list of prime factors of all numbers are
Prime factors of 508 are 2 x 2 x 127
Prime factors of 470 are 2 x 5 x 47
Prime factors of 494 are 2 x 13 x 19
Prime factors of 644 are 2 x 2 x 7 x 23
The highest common occurrence is 21
Therefore, GCD of 508, 470, 494, 644 is 2.
Given numbers are 508, 470, 494, 644
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(508, 470) = 119380
GCD(508, 470) = ( 508 x 470 ) / 119380
= 508 / 470
= 508
Step2:
LCM(2, 494) = 494
GCD(2, 494) = ( 2 x 494 ) / 494
= 2 / 494
= 2
Step3:
LCM(2, 644) = 644
GCD(2, 644) = ( 2 x 644 ) / 644
= 2 / 644
= 2
So, Greatest Common Divisor of 508, 470, 494, 644 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 508, 470, 494, 644
The greatest common divisor of numbers 508, 470, 494, 644 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 470, 494, 644 is 2.
1. What is the GCD of 508, 470, 494, 644?
GCD of given numbers 508, 470, 494, 644 is 2
2. How to calculate the greatest common divisor of 508, 470, 494, 644?
We can find the highest common divisor of 508, 470, 494, 644 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 508, 470, 494, 644 i.e 2.
3. How can I use the GCD of 508, 470, 494, 644Calculator?
Out the numbers 508, 470, 494, 644 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.