Online GCD Calculator is useful to find the GCD of 271, 998, 314 quickly. Get the easiest ways to solve the greatest common divisor of 271, 998, 314 i.e 1 in different methods as follows.
Given Input numbers are 271, 998, 314
In the factoring method, we have to find the divisors of all numbers
Divisors of 271 :
The positive integer divisors of 271 that completely divides 271 are.
1, 271
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
GCD of numbers is the greatest common divisor
So, the GCD (271, 998, 314) = 1.
Given numbers are 271, 998, 314
The list of prime factors of all numbers are
Prime factors of 271 are 271
Prime factors of 998 are 2 x 499
Prime factors of 314 are 2 x 157
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 271, 998, 314
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(271, 998) = 270458
GCD(271, 998) = ( 271 x 998 ) / 270458
= 271 / 998
= 271
Step2:
LCM(1, 314) = 314
GCD(1, 314) = ( 1 x 314 ) / 314
= 1 / 314
= 1
So, Greatest Common Divisor of 271, 998, 314 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 271, 998, 314
The greatest common divisor of numbers 271, 998, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 271, 998, 314 is 1.
1. What is the GCD of 271, 998, 314?
GCD of given numbers 271, 998, 314 is 1
2. How to calculate the greatest common divisor of 271, 998, 314?
We can find the highest common divisor of 271, 998, 314 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 271, 998, 314 i.e 1.
3. How can I use the GCD of 271, 998, 314Calculator?
Out the numbers 271, 998, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.