Online GCD Calculator is useful to find the GCD of 390, 449, 338, 224 quickly. Get the easiest ways to solve the greatest common divisor of 390, 449, 338, 224 i.e 1 in different methods as follows.
Given Input numbers are 390, 449, 338, 224
In the factoring method, we have to find the divisors of all numbers
Divisors of 390 :
The positive integer divisors of 390 that completely divides 390 are.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 449 :
The positive integer divisors of 449 that completely divides 449 are.
1, 449
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
Divisors of 224 :
The positive integer divisors of 224 that completely divides 224 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
GCD of numbers is the greatest common divisor
So, the GCD (390, 449, 338, 224) = 1.
Given numbers are 390, 449, 338, 224
The list of prime factors of all numbers are
Prime factors of 390 are 2 x 3 x 5 x 13
Prime factors of 449 are 449
Prime factors of 338 are 2 x 13 x 13
Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 390, 449, 338, 224
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(390, 449) = 175110
GCD(390, 449) = ( 390 x 449 ) / 175110
= 390 / 449
= 390
Step2:
LCM(1, 338) = 338
GCD(1, 338) = ( 1 x 338 ) / 338
= 1 / 338
= 1
Step3:
LCM(1, 224) = 224
GCD(1, 224) = ( 1 x 224 ) / 224
= 1 / 224
= 1
So, Greatest Common Divisor of 390, 449, 338, 224 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 390, 449, 338, 224
The greatest common divisor of numbers 390, 449, 338, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 449, 338, 224 is 1.
1. What is the GCD of 390, 449, 338, 224?
GCD of given numbers 390, 449, 338, 224 is 1
2. How to calculate the greatest common divisor of 390, 449, 338, 224?
We can find the highest common divisor of 390, 449, 338, 224 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 390, 449, 338, 224 i.e 1.
3. How can I use the GCD of 390, 449, 338, 224Calculator?
Out the numbers 390, 449, 338, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.