Online GCD Calculator is useful to find the GCD of 314, 431, 190, 201 quickly. Get the easiest ways to solve the greatest common divisor of 314, 431, 190, 201 i.e 1 in different methods as follows.
Given Input numbers are 314, 431, 190, 201
In the factoring method, we have to find the divisors of all numbers
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
Divisors of 431 :
The positive integer divisors of 431 that completely divides 431 are.
1, 431
Divisors of 190 :
The positive integer divisors of 190 that completely divides 190 are.
1, 2, 5, 10, 19, 38, 95, 190
Divisors of 201 :
The positive integer divisors of 201 that completely divides 201 are.
1, 3, 67, 201
GCD of numbers is the greatest common divisor
So, the GCD (314, 431, 190, 201) = 1.
Given numbers are 314, 431, 190, 201
The list of prime factors of all numbers are
Prime factors of 314 are 2 x 157
Prime factors of 431 are 431
Prime factors of 190 are 2 x 5 x 19
Prime factors of 201 are 3 x 67
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 314, 431, 190, 201
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(314, 431) = 135334
GCD(314, 431) = ( 314 x 431 ) / 135334
= 314 / 431
= 314
Step2:
LCM(1, 190) = 190
GCD(1, 190) = ( 1 x 190 ) / 190
= 1 / 190
= 1
Step3:
LCM(1, 201) = 201
GCD(1, 201) = ( 1 x 201 ) / 201
= 1 / 201
= 1
So, Greatest Common Divisor of 314, 431, 190, 201 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 314, 431, 190, 201
The greatest common divisor of numbers 314, 431, 190, 201 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 314, 431, 190, 201 is 1.
1. What is the GCD of 314, 431, 190, 201?
GCD of given numbers 314, 431, 190, 201 is 1
2. How to calculate the greatest common divisor of 314, 431, 190, 201?
We can find the highest common divisor of 314, 431, 190, 201 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 314, 431, 190, 201 i.e 1.
3. How can I use the GCD of 314, 431, 190, 201Calculator?
Out the numbers 314, 431, 190, 201 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.