Online GCD Calculator is useful to find the GCD of 382, 145, 194, 208 quickly. Get the easiest ways to solve the greatest common divisor of 382, 145, 194, 208 i.e 1 in different methods as follows.
Given Input numbers are 382, 145, 194, 208
In the factoring method, we have to find the divisors of all numbers
Divisors of 382 :
The positive integer divisors of 382 that completely divides 382 are.
1, 2, 191, 382
Divisors of 145 :
The positive integer divisors of 145 that completely divides 145 are.
1, 5, 29, 145
Divisors of 194 :
The positive integer divisors of 194 that completely divides 194 are.
1, 2, 97, 194
Divisors of 208 :
The positive integer divisors of 208 that completely divides 208 are.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
GCD of numbers is the greatest common divisor
So, the GCD (382, 145, 194, 208) = 1.
Given numbers are 382, 145, 194, 208
The list of prime factors of all numbers are
Prime factors of 382 are 2 x 191
Prime factors of 145 are 5 x 29
Prime factors of 194 are 2 x 97
Prime factors of 208 are 2 x 2 x 2 x 2 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 382, 145, 194, 208
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(382, 145) = 55390
GCD(382, 145) = ( 382 x 145 ) / 55390
= 382 / 145
= 382
Step2:
LCM(1, 194) = 194
GCD(1, 194) = ( 1 x 194 ) / 194
= 1 / 194
= 1
Step3:
LCM(1, 208) = 208
GCD(1, 208) = ( 1 x 208 ) / 208
= 1 / 208
= 1
So, Greatest Common Divisor of 382, 145, 194, 208 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 382, 145, 194, 208
The greatest common divisor of numbers 382, 145, 194, 208 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 382, 145, 194, 208 is 1.
1. What is the GCD of 382, 145, 194, 208?
GCD of given numbers 382, 145, 194, 208 is 1
2. How to calculate the greatest common divisor of 382, 145, 194, 208?
We can find the highest common divisor of 382, 145, 194, 208 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 382, 145, 194, 208 i.e 1.
3. How can I use the GCD of 382, 145, 194, 208Calculator?
Out the numbers 382, 145, 194, 208 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.