Online GCD Calculator is useful to find the GCD of 349, 384, 394, 705 quickly. Get the easiest ways to solve the greatest common divisor of 349, 384, 394, 705 i.e 1 in different methods as follows.
Given Input numbers are 349, 384, 394, 705
In the factoring method, we have to find the divisors of all numbers
Divisors of 349 :
The positive integer divisors of 349 that completely divides 349 are.
1, 349
Divisors of 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 394 :
The positive integer divisors of 394 that completely divides 394 are.
1, 2, 197, 394
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
GCD of numbers is the greatest common divisor
So, the GCD (349, 384, 394, 705) = 1.
Given numbers are 349, 384, 394, 705
The list of prime factors of all numbers are
Prime factors of 349 are 349
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 394 are 2 x 197
Prime factors of 705 are 3 x 5 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 349, 384, 394, 705
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(349, 384) = 134016
GCD(349, 384) = ( 349 x 384 ) / 134016
= 349 / 384
= 349
Step2:
LCM(1, 394) = 394
GCD(1, 394) = ( 1 x 394 ) / 394
= 1 / 394
= 1
Step3:
LCM(1, 705) = 705
GCD(1, 705) = ( 1 x 705 ) / 705
= 1 / 705
= 1
So, Greatest Common Divisor of 349, 384, 394, 705 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 349, 384, 394, 705
The greatest common divisor of numbers 349, 384, 394, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 349, 384, 394, 705 is 1.
1. What is the GCD of 349, 384, 394, 705?
GCD of given numbers 349, 384, 394, 705 is 1
2. How to calculate the greatest common divisor of 349, 384, 394, 705?
We can find the highest common divisor of 349, 384, 394, 705 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 349, 384, 394, 705 i.e 1.
3. How can I use the GCD of 349, 384, 394, 705Calculator?
Out the numbers 349, 384, 394, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.