Online GCD Calculator is useful to find the GCD of 395, 343, 114, 382 quickly. Get the easiest ways to solve the greatest common divisor of 395, 343, 114, 382 i.e 1 in different methods as follows.
Given Input numbers are 395, 343, 114, 382
In the factoring method, we have to find the divisors of all numbers
Divisors of 395 :
The positive integer divisors of 395 that completely divides 395 are.
1, 5, 79, 395
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
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 (395, 343, 114, 382) = 1.
Given numbers are 395, 343, 114, 382
The list of prime factors of all numbers are
Prime factors of 395 are 5 x 79
Prime factors of 343 are 7 x 7 x 7
Prime factors of 114 are 2 x 3 x 19
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 395, 343, 114, 382
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(395, 343) = 135485
GCD(395, 343) = ( 395 x 343 ) / 135485
= 395 / 343
= 395
Step2:
LCM(1, 114) = 114
GCD(1, 114) = ( 1 x 114 ) / 114
= 1 / 114
= 1
Step3:
LCM(1, 382) = 382
GCD(1, 382) = ( 1 x 382 ) / 382
= 1 / 382
= 1
So, Greatest Common Divisor of 395, 343, 114, 382 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 395, 343, 114, 382
The greatest common divisor of numbers 395, 343, 114, 382 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 395, 343, 114, 382 is 1.
1. What is the GCD of 395, 343, 114, 382?
GCD of given numbers 395, 343, 114, 382 is 1
2. How to calculate the greatest common divisor of 395, 343, 114, 382?
We can find the highest common divisor of 395, 343, 114, 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 395, 343, 114, 382 i.e 1.
3. How can I use the GCD of 395, 343, 114, 382Calculator?
Out the numbers 395, 343, 114, 382 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.