Online GCD Calculator is useful to find the GCD of 120, 399, 438, 161 quickly. Get the easiest ways to solve the greatest common divisor of 120, 399, 438, 161 i.e 1 in different methods as follows.
Given Input numbers are 120, 399, 438, 161
In the factoring method, we have to find the divisors of all numbers
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 399 :
The positive integer divisors of 399 that completely divides 399 are.
1, 3, 7, 19, 21, 57, 133, 399
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 161 :
The positive integer divisors of 161 that completely divides 161 are.
1, 7, 23, 161
GCD of numbers is the greatest common divisor
So, the GCD (120, 399, 438, 161) = 1.
Given numbers are 120, 399, 438, 161
The list of prime factors of all numbers are
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 399 are 3 x 7 x 19
Prime factors of 438 are 2 x 3 x 73
Prime factors of 161 are 7 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 120, 399, 438, 161
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 399) = 15960
GCD(120, 399) = ( 120 x 399 ) / 15960
= 120 / 399
= 120
Step2:
LCM(3, 438) = 438
GCD(3, 438) = ( 3 x 438 ) / 438
= 3 / 438
= 3
Step3:
LCM(3, 161) = 483
GCD(3, 161) = ( 3 x 161 ) / 483
= 3 / 161
= 3
So, Greatest Common Divisor of 120, 399, 438, 161 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 399, 438, 161
The greatest common divisor of numbers 120, 399, 438, 161 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 399, 438, 161 is 1.
1. What is the GCD of 120, 399, 438, 161?
GCD of given numbers 120, 399, 438, 161 is 1
2. How to calculate the greatest common divisor of 120, 399, 438, 161?
We can find the highest common divisor of 120, 399, 438, 161 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 120, 399, 438, 161 i.e 1.
3. How can I use the GCD of 120, 399, 438, 161Calculator?
Out the numbers 120, 399, 438, 161 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.