Online GCD Calculator is useful to find the GCD of 508, 116, 478, 638 quickly. Get the easiest ways to solve the greatest common divisor of 508, 116, 478, 638 i.e 2 in different methods as follows.
Given Input numbers are 508, 116, 478, 638
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 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
Divisors of 478 :
The positive integer divisors of 478 that completely divides 478 are.
1, 2, 239, 478
Divisors of 638 :
The positive integer divisors of 638 that completely divides 638 are.
1, 2, 11, 22, 29, 58, 319, 638
GCD of numbers is the greatest common divisor
So, the GCD (508, 116, 478, 638) = 2.
Given numbers are 508, 116, 478, 638
The list of prime factors of all numbers are
Prime factors of 508 are 2 x 2 x 127
Prime factors of 116 are 2 x 2 x 29
Prime factors of 478 are 2 x 239
Prime factors of 638 are 2 x 11 x 29
The highest common occurrence is 21
Therefore, GCD of 508, 116, 478, 638 is 2.
Given numbers are 508, 116, 478, 638
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(508, 116) = 14732
GCD(508, 116) = ( 508 x 116 ) / 14732
= 508 / 116
= 508
Step2:
LCM(4, 478) = 956
GCD(4, 478) = ( 4 x 478 ) / 956
= 4 / 478
= 4
Step3:
LCM(2, 638) = 638
GCD(2, 638) = ( 2 x 638 ) / 638
= 2 / 638
= 2
So, Greatest Common Divisor of 508, 116, 478, 638 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 508, 116, 478, 638
The greatest common divisor of numbers 508, 116, 478, 638 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 116, 478, 638 is 2.
1. What is the GCD of 508, 116, 478, 638?
GCD of given numbers 508, 116, 478, 638 is 2
2. How to calculate the greatest common divisor of 508, 116, 478, 638?
We can find the highest common divisor of 508, 116, 478, 638 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, 116, 478, 638 i.e 2.
3. How can I use the GCD of 508, 116, 478, 638Calculator?
Out the numbers 508, 116, 478, 638 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.