Online GCD Calculator is useful to find the GCD of 344, 431, 71 quickly. Get the easiest ways to solve the greatest common divisor of 344, 431, 71 i.e 1 in different methods as follows.
Given Input numbers are 344, 431, 71
In the factoring method, we have to find the divisors of all numbers
Divisors of 344 :
The positive integer divisors of 344 that completely divides 344 are.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 431 :
The positive integer divisors of 431 that completely divides 431 are.
1, 431
Divisors of 71 :
The positive integer divisors of 71 that completely divides 71 are.
1, 71
GCD of numbers is the greatest common divisor
So, the GCD (344, 431, 71) = 1.
Given numbers are 344, 431, 71
The list of prime factors of all numbers are
Prime factors of 344 are 2 x 2 x 2 x 43
Prime factors of 431 are 431
Prime factors of 71 are 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 344, 431, 71
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(344, 431) = 148264
GCD(344, 431) = ( 344 x 431 ) / 148264
= 344 / 431
= 344
Step2:
LCM(1, 71) = 71
GCD(1, 71) = ( 1 x 71 ) / 71
= 1 / 71
= 1
So, Greatest Common Divisor of 344, 431, 71 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 344, 431, 71
The greatest common divisor of numbers 344, 431, 71 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 344, 431, 71 is 1.
1. What is the GCD of 344, 431, 71?
GCD of given numbers 344, 431, 71 is 1
2. How to calculate the greatest common divisor of 344, 431, 71?
We can find the highest common divisor of 344, 431, 71 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 344, 431, 71 i.e 1.
3. How can I use the GCD of 344, 431, 71Calculator?
Out the numbers 344, 431, 71 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.