Online GCD Calculator is useful to find the GCD of 322, 123, 448, 382 quickly. Get the easiest ways to solve the greatest common divisor of 322, 123, 448, 382 i.e 1 in different methods as follows.
Given Input numbers are 322, 123, 448, 382
In the factoring method, we have to find the divisors of all numbers
Divisors of 322 :
The positive integer divisors of 322 that completely divides 322 are.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
Divisors of 448 :
The positive integer divisors of 448 that completely divides 448 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Divisors of 382 :
The positive integer divisors of 382 that completely divides 382 are.
1, 2, 191, 382
GCD of numbers is the greatest common divisor
So, the GCD (322, 123, 448, 382) = 1.
Given numbers are 322, 123, 448, 382
The list of prime factors of all numbers are
Prime factors of 322 are 2 x 7 x 23
Prime factors of 123 are 3 x 41
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 382 are 2 x 191
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 322, 123, 448, 382
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(322, 123) = 39606
GCD(322, 123) = ( 322 x 123 ) / 39606
= 322 / 123
= 322
Step2:
LCM(1, 448) = 448
GCD(1, 448) = ( 1 x 448 ) / 448
= 1 / 448
= 1
Step3:
LCM(1, 382) = 382
GCD(1, 382) = ( 1 x 382 ) / 382
= 1 / 382
= 1
So, Greatest Common Divisor of 322, 123, 448, 382 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 322, 123, 448, 382
The greatest common divisor of numbers 322, 123, 448, 382 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 322, 123, 448, 382 is 1.
1. What is the GCD of 322, 123, 448, 382?
GCD of given numbers 322, 123, 448, 382 is 1
2. How to calculate the greatest common divisor of 322, 123, 448, 382?
We can find the highest common divisor of 322, 123, 448, 382 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 322, 123, 448, 382 i.e 1.
3. How can I use the GCD of 322, 123, 448, 382Calculator?
Out the numbers 322, 123, 448, 382 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.