Online GCD Calculator is useful to find the GCD of 493, 309, 787, 708 quickly. Get the easiest ways to solve the greatest common divisor of 493, 309, 787, 708 i.e 1 in different methods as follows.
Given Input numbers are 493, 309, 787, 708
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 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
Divisors of 787 :
The positive integer divisors of 787 that completely divides 787 are.
1, 787
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
GCD of numbers is the greatest common divisor
So, the GCD (493, 309, 787, 708) = 1.
Given numbers are 493, 309, 787, 708
The list of prime factors of all numbers are
Prime factors of 493 are 17 x 29
Prime factors of 309 are 3 x 103
Prime factors of 787 are 787
Prime factors of 708 are 2 x 2 x 3 x 59
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 493, 309, 787, 708
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(493, 309) = 152337
GCD(493, 309) = ( 493 x 309 ) / 152337
= 493 / 309
= 493
Step2:
LCM(1, 787) = 787
GCD(1, 787) = ( 1 x 787 ) / 787
= 1 / 787
= 1
Step3:
LCM(1, 708) = 708
GCD(1, 708) = ( 1 x 708 ) / 708
= 1 / 708
= 1
So, Greatest Common Divisor of 493, 309, 787, 708 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 493, 309, 787, 708
The greatest common divisor of numbers 493, 309, 787, 708 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 493, 309, 787, 708 is 1.
1. What is the GCD of 493, 309, 787, 708?
GCD of given numbers 493, 309, 787, 708 is 1
2. How to calculate the greatest common divisor of 493, 309, 787, 708?
We can find the highest common divisor of 493, 309, 787, 708 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, 309, 787, 708 i.e 1.
3. How can I use the GCD of 493, 309, 787, 708Calculator?
Out the numbers 493, 309, 787, 708 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.