Online GCD Calculator is useful to find the GCD of 311, 398, 705 quickly. Get the easiest ways to solve the greatest common divisor of 311, 398, 705 i.e 1 in different methods as follows.
Given Input numbers are 311, 398, 705
In the factoring method, we have to find the divisors of all numbers
Divisors of 311 :
The positive integer divisors of 311 that completely divides 311 are.
1, 311
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
GCD of numbers is the greatest common divisor
So, the GCD (311, 398, 705) = 1.
Given numbers are 311, 398, 705
The list of prime factors of all numbers are
Prime factors of 311 are 311
Prime factors of 398 are 2 x 199
Prime factors of 705 are 3 x 5 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 311, 398, 705
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(311, 398) = 123778
GCD(311, 398) = ( 311 x 398 ) / 123778
= 311 / 398
= 311
Step2:
LCM(1, 705) = 705
GCD(1, 705) = ( 1 x 705 ) / 705
= 1 / 705
= 1
So, Greatest Common Divisor of 311, 398, 705 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 311, 398, 705
The greatest common divisor of numbers 311, 398, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 311, 398, 705 is 1.
1. What is the GCD of 311, 398, 705?
GCD of given numbers 311, 398, 705 is 1
2. How to calculate the greatest common divisor of 311, 398, 705?
We can find the highest common divisor of 311, 398, 705 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 311, 398, 705 i.e 1.
3. How can I use the GCD of 311, 398, 705Calculator?
Out the numbers 311, 398, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.