Online GCD Calculator is useful to find the GCD of 313, 616, 493, 697 quickly. Get the easiest ways to solve the greatest common divisor of 313, 616, 493, 697 i.e 1 in different methods as follows.
Given Input numbers are 313, 616, 493, 697
In the factoring method, we have to find the divisors of all numbers
Divisors of 313 :
The positive integer divisors of 313 that completely divides 313 are.
1, 313
Divisors of 616 :
The positive integer divisors of 616 that completely divides 616 are.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 493 :
The positive integer divisors of 493 that completely divides 493 are.
1, 17, 29, 493
Divisors of 697 :
The positive integer divisors of 697 that completely divides 697 are.
1, 17, 41, 697
GCD of numbers is the greatest common divisor
So, the GCD (313, 616, 493, 697) = 1.
Given numbers are 313, 616, 493, 697
The list of prime factors of all numbers are
Prime factors of 313 are 313
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
Prime factors of 493 are 17 x 29
Prime factors of 697 are 17 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 313, 616, 493, 697
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(313, 616) = 192808
GCD(313, 616) = ( 313 x 616 ) / 192808
= 313 / 616
= 313
Step2:
LCM(1, 493) = 493
GCD(1, 493) = ( 1 x 493 ) / 493
= 1 / 493
= 1
Step3:
LCM(1, 697) = 697
GCD(1, 697) = ( 1 x 697 ) / 697
= 1 / 697
= 1
So, Greatest Common Divisor of 313, 616, 493, 697 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 313, 616, 493, 697
The greatest common divisor of numbers 313, 616, 493, 697 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 313, 616, 493, 697 is 1.
1. What is the GCD of 313, 616, 493, 697?
GCD of given numbers 313, 616, 493, 697 is 1
2. How to calculate the greatest common divisor of 313, 616, 493, 697?
We can find the highest common divisor of 313, 616, 493, 697 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 313, 616, 493, 697 i.e 1.
3. How can I use the GCD of 313, 616, 493, 697Calculator?
Out the numbers 313, 616, 493, 697 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.