Online GCD Calculator is useful to find the GCD of 908, 138, 666, 438 quickly. Get the easiest ways to solve the greatest common divisor of 908, 138, 666, 438 i.e 2 in different methods as follows.
Given Input numbers are 908, 138, 666, 438
In the factoring method, we have to find the divisors of all numbers
Divisors of 908 :
The positive integer divisors of 908 that completely divides 908 are.
1, 2, 4, 227, 454, 908
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 666 :
The positive integer divisors of 666 that completely divides 666 are.
1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
GCD of numbers is the greatest common divisor
So, the GCD (908, 138, 666, 438) = 2.
Given numbers are 908, 138, 666, 438
The list of prime factors of all numbers are
Prime factors of 908 are 2 x 2 x 227
Prime factors of 138 are 2 x 3 x 23
Prime factors of 666 are 2 x 3 x 3 x 37
Prime factors of 438 are 2 x 3 x 73
The highest common occurrence is 21
Therefore, GCD of 908, 138, 666, 438 is 2.
Given numbers are 908, 138, 666, 438
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(908, 138) = 62652
GCD(908, 138) = ( 908 x 138 ) / 62652
= 908 / 138
= 908
Step2:
LCM(2, 666) = 666
GCD(2, 666) = ( 2 x 666 ) / 666
= 2 / 666
= 2
Step3:
LCM(2, 438) = 438
GCD(2, 438) = ( 2 x 438 ) / 438
= 2 / 438
= 2
So, Greatest Common Divisor of 908, 138, 666, 438 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 908, 138, 666, 438
The greatest common divisor of numbers 908, 138, 666, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 908, 138, 666, 438 is 2.
1. What is the GCD of 908, 138, 666, 438?
GCD of given numbers 908, 138, 666, 438 is 2
2. How to calculate the greatest common divisor of 908, 138, 666, 438?
We can find the highest common divisor of 908, 138, 666, 438 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 908, 138, 666, 438 i.e 2.
3. How can I use the GCD of 908, 138, 666, 438Calculator?
Out the numbers 908, 138, 666, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.