Online GCD Calculator is useful to find the GCD of 122, 438, 908, 634 quickly. Get the easiest ways to solve the greatest common divisor of 122, 438, 908, 634 i.e 2 in different methods as follows.
Given Input numbers are 122, 438, 908, 634
In the factoring method, we have to find the divisors of all numbers
Divisors of 122 :
The positive integer divisors of 122 that completely divides 122 are.
1, 2, 61, 122
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 908 :
The positive integer divisors of 908 that completely divides 908 are.
1, 2, 4, 227, 454, 908
Divisors of 634 :
The positive integer divisors of 634 that completely divides 634 are.
1, 2, 317, 634
GCD of numbers is the greatest common divisor
So, the GCD (122, 438, 908, 634) = 2.
Given numbers are 122, 438, 908, 634
The list of prime factors of all numbers are
Prime factors of 122 are 2 x 61
Prime factors of 438 are 2 x 3 x 73
Prime factors of 908 are 2 x 2 x 227
Prime factors of 634 are 2 x 317
The highest common occurrence is 21
Therefore, GCD of 122, 438, 908, 634 is 2.
Given numbers are 122, 438, 908, 634
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(122, 438) = 26718
GCD(122, 438) = ( 122 x 438 ) / 26718
= 122 / 438
= 122
Step2:
LCM(2, 908) = 908
GCD(2, 908) = ( 2 x 908 ) / 908
= 2 / 908
= 2
Step3:
LCM(2, 634) = 634
GCD(2, 634) = ( 2 x 634 ) / 634
= 2 / 634
= 2
So, Greatest Common Divisor of 122, 438, 908, 634 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 122, 438, 908, 634
The greatest common divisor of numbers 122, 438, 908, 634 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 122, 438, 908, 634 is 2.
1. What is the GCD of 122, 438, 908, 634?
GCD of given numbers 122, 438, 908, 634 is 2
2. How to calculate the greatest common divisor of 122, 438, 908, 634?
We can find the highest common divisor of 122, 438, 908, 634 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 122, 438, 908, 634 i.e 2.
3. How can I use the GCD of 122, 438, 908, 634Calculator?
Out the numbers 122, 438, 908, 634 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.