Online GCD Calculator is useful to find the GCD of 493, 344, 772, 391 quickly. Get the easiest ways to solve the greatest common divisor of 493, 344, 772, 391 i.e 1 in different methods as follows.
Given Input numbers are 493, 344, 772, 391
In the factoring method, we have to find the divisors of all numbers
Divisors of 493 :
The positive integer divisors of 493 that completely divides 493 are.
1, 17, 29, 493
Divisors of 344 :
The positive integer divisors of 344 that completely divides 344 are.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
Divisors of 391 :
The positive integer divisors of 391 that completely divides 391 are.
1, 17, 23, 391
GCD of numbers is the greatest common divisor
So, the GCD (493, 344, 772, 391) = 1.
Given numbers are 493, 344, 772, 391
The list of prime factors of all numbers are
Prime factors of 493 are 17 x 29
Prime factors of 344 are 2 x 2 x 2 x 43
Prime factors of 772 are 2 x 2 x 193
Prime factors of 391 are 17 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 493, 344, 772, 391
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(493, 344) = 169592
GCD(493, 344) = ( 493 x 344 ) / 169592
= 493 / 344
= 493
Step2:
LCM(1, 772) = 772
GCD(1, 772) = ( 1 x 772 ) / 772
= 1 / 772
= 1
Step3:
LCM(1, 391) = 391
GCD(1, 391) = ( 1 x 391 ) / 391
= 1 / 391
= 1
So, Greatest Common Divisor of 493, 344, 772, 391 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 493, 344, 772, 391
The greatest common divisor of numbers 493, 344, 772, 391 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 493, 344, 772, 391 is 1.
1. What is the GCD of 493, 344, 772, 391?
GCD of given numbers 493, 344, 772, 391 is 1
2. How to calculate the greatest common divisor of 493, 344, 772, 391?
We can find the highest common divisor of 493, 344, 772, 391 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 493, 344, 772, 391 i.e 1.
3. How can I use the GCD of 493, 344, 772, 391Calculator?
Out the numbers 493, 344, 772, 391 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.