Online GCD Calculator is useful to find the GCD of 314, 464, 731 quickly. Get the easiest ways to solve the greatest common divisor of 314, 464, 731 i.e 1 in different methods as follows.
Given Input numbers are 314, 464, 731
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 464 :
The positive integer divisors of 464 that completely divides 464 are.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 731 :
The positive integer divisors of 731 that completely divides 731 are.
1, 17, 43, 731
GCD of numbers is the greatest common divisor
So, the GCD (314, 464, 731) = 1.
Given numbers are 314, 464, 731
The list of prime factors of all numbers are
Prime factors of 314 are 2 x 157
Prime factors of 464 are 2 x 2 x 2 x 2 x 29
Prime factors of 731 are 17 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 314, 464, 731
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(314, 464) = 72848
GCD(314, 464) = ( 314 x 464 ) / 72848
= 314 / 464
= 314
Step2:
LCM(2, 731) = 1462
GCD(2, 731) = ( 2 x 731 ) / 1462
= 2 / 731
= 2
So, Greatest Common Divisor of 314, 464, 731 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 314, 464, 731
The greatest common divisor of numbers 314, 464, 731 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 314, 464, 731 is 1.
1. What is the GCD of 314, 464, 731?
GCD of given numbers 314, 464, 731 is 1
2. How to calculate the greatest common divisor of 314, 464, 731?
We can find the highest common divisor of 314, 464, 731 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, 464, 731 i.e 1.
3. How can I use the GCD of 314, 464, 731Calculator?
Out the numbers 314, 464, 731 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.