Online GCD Calculator is useful to find the GCD of 122, 406, 108, 432 quickly. Get the easiest ways to solve the greatest common divisor of 122, 406, 108, 432 i.e 2 in different methods as follows.
Given Input numbers are 122, 406, 108, 432
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 406 :
The positive integer divisors of 406 that completely divides 406 are.
1, 2, 7, 14, 29, 58, 203, 406
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
GCD of numbers is the greatest common divisor
So, the GCD (122, 406, 108, 432) = 2.
Given numbers are 122, 406, 108, 432
The list of prime factors of all numbers are
Prime factors of 122 are 2 x 61
Prime factors of 406 are 2 x 7 x 29
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 122, 406, 108, 432 is 2.
Given numbers are 122, 406, 108, 432
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(122, 406) = 24766
GCD(122, 406) = ( 122 x 406 ) / 24766
= 122 / 406
= 122
Step2:
LCM(2, 108) = 108
GCD(2, 108) = ( 2 x 108 ) / 108
= 2 / 108
= 2
Step3:
LCM(2, 432) = 432
GCD(2, 432) = ( 2 x 432 ) / 432
= 2 / 432
= 2
So, Greatest Common Divisor of 122, 406, 108, 432 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 122, 406, 108, 432
The greatest common divisor of numbers 122, 406, 108, 432 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 122, 406, 108, 432 is 2.
1. What is the GCD of 122, 406, 108, 432?
GCD of given numbers 122, 406, 108, 432 is 2
2. How to calculate the greatest common divisor of 122, 406, 108, 432?
We can find the highest common divisor of 122, 406, 108, 432 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, 406, 108, 432 i.e 2.
3. How can I use the GCD of 122, 406, 108, 432Calculator?
Out the numbers 122, 406, 108, 432 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.