Online GCD Calculator is useful to find the GCD of 438, 518, 632, 908 quickly. Get the easiest ways to solve the greatest common divisor of 438, 518, 632, 908 i.e 2 in different methods as follows.
Given Input numbers are 438, 518, 632, 908
In the factoring method, we have to find the divisors of all numbers
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 518 :
The positive integer divisors of 518 that completely divides 518 are.
1, 2, 7, 14, 37, 74, 259, 518
Divisors of 632 :
The positive integer divisors of 632 that completely divides 632 are.
1, 2, 4, 8, 79, 158, 316, 632
Divisors of 908 :
The positive integer divisors of 908 that completely divides 908 are.
1, 2, 4, 227, 454, 908
GCD of numbers is the greatest common divisor
So, the GCD (438, 518, 632, 908) = 2.
Given numbers are 438, 518, 632, 908
The list of prime factors of all numbers are
Prime factors of 438 are 2 x 3 x 73
Prime factors of 518 are 2 x 7 x 37
Prime factors of 632 are 2 x 2 x 2 x 79
Prime factors of 908 are 2 x 2 x 227
The highest common occurrence is 21
Therefore, GCD of 438, 518, 632, 908 is 2.
Given numbers are 438, 518, 632, 908
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(438, 518) = 113442
GCD(438, 518) = ( 438 x 518 ) / 113442
= 438 / 518
= 438
Step2:
LCM(2, 632) = 632
GCD(2, 632) = ( 2 x 632 ) / 632
= 2 / 632
= 2
Step3:
LCM(2, 908) = 908
GCD(2, 908) = ( 2 x 908 ) / 908
= 2 / 908
= 2
So, Greatest Common Divisor of 438, 518, 632, 908 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 438, 518, 632, 908
The greatest common divisor of numbers 438, 518, 632, 908 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 518, 632, 908 is 2.
1. What is the GCD of 438, 518, 632, 908?
GCD of given numbers 438, 518, 632, 908 is 2
2. How to calculate the greatest common divisor of 438, 518, 632, 908?
We can find the highest common divisor of 438, 518, 632, 908 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 438, 518, 632, 908 i.e 2.
3. How can I use the GCD of 438, 518, 632, 908Calculator?
Out the numbers 438, 518, 632, 908 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.