Online GCD Calculator is useful to find the GCD of 107, 685, 414, 394 quickly. Get the easiest ways to solve the greatest common divisor of 107, 685, 414, 394 i.e 1 in different methods as follows.
Given Input numbers are 107, 685, 414, 394
In the factoring method, we have to find the divisors of all numbers
Divisors of 107 :
The positive integer divisors of 107 that completely divides 107 are.
1, 107
Divisors of 685 :
The positive integer divisors of 685 that completely divides 685 are.
1, 5, 137, 685
Divisors of 414 :
The positive integer divisors of 414 that completely divides 414 are.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Divisors of 394 :
The positive integer divisors of 394 that completely divides 394 are.
1, 2, 197, 394
GCD of numbers is the greatest common divisor
So, the GCD (107, 685, 414, 394) = 1.
Given numbers are 107, 685, 414, 394
The list of prime factors of all numbers are
Prime factors of 107 are 107
Prime factors of 685 are 5 x 137
Prime factors of 414 are 2 x 3 x 3 x 23
Prime factors of 394 are 2 x 197
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 107, 685, 414, 394
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(107, 685) = 73295
GCD(107, 685) = ( 107 x 685 ) / 73295
= 107 / 685
= 107
Step2:
LCM(1, 414) = 414
GCD(1, 414) = ( 1 x 414 ) / 414
= 1 / 414
= 1
Step3:
LCM(1, 394) = 394
GCD(1, 394) = ( 1 x 394 ) / 394
= 1 / 394
= 1
So, Greatest Common Divisor of 107, 685, 414, 394 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 107, 685, 414, 394
The greatest common divisor of numbers 107, 685, 414, 394 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 107, 685, 414, 394 is 1.
1. What is the GCD of 107, 685, 414, 394?
GCD of given numbers 107, 685, 414, 394 is 1
2. How to calculate the greatest common divisor of 107, 685, 414, 394?
We can find the highest common divisor of 107, 685, 414, 394 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 107, 685, 414, 394 i.e 1.
3. How can I use the GCD of 107, 685, 414, 394Calculator?
Out the numbers 107, 685, 414, 394 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.