Online GCD Calculator is useful to find the GCD of 434, 384, 361, 705 quickly. Get the easiest ways to solve the greatest common divisor of 434, 384, 361, 705 i.e 1 in different methods as follows.
Given Input numbers are 434, 384, 361, 705
In the factoring method, we have to find the divisors of all numbers
Divisors of 434 :
The positive integer divisors of 434 that completely divides 434 are.
1, 2, 7, 14, 31, 62, 217, 434
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 361 :
The positive integer divisors of 361 that completely divides 361 are.
1, 19, 361
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 (434, 384, 361, 705) = 1.
Given numbers are 434, 384, 361, 705
The list of prime factors of all numbers are
Prime factors of 434 are 2 x 7 x 31
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 361 are 19 x 19
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 434, 384, 361, 705
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(434, 384) = 83328
GCD(434, 384) = ( 434 x 384 ) / 83328
= 434 / 384
= 434
Step2:
LCM(2, 361) = 722
GCD(2, 361) = ( 2 x 361 ) / 722
= 2 / 361
= 2
Step3:
LCM(1, 705) = 705
GCD(1, 705) = ( 1 x 705 ) / 705
= 1 / 705
= 1
So, Greatest Common Divisor of 434, 384, 361, 705 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 434, 384, 361, 705
The greatest common divisor of numbers 434, 384, 361, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 434, 384, 361, 705 is 1.
1. What is the GCD of 434, 384, 361, 705?
GCD of given numbers 434, 384, 361, 705 is 1
2. How to calculate the greatest common divisor of 434, 384, 361, 705?
We can find the highest common divisor of 434, 384, 361, 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 434, 384, 361, 705 i.e 1.
3. How can I use the GCD of 434, 384, 361, 705Calculator?
Out the numbers 434, 384, 361, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.