Online GCD Calculator is useful to find the GCD of 493, 363, 41 quickly. Get the easiest ways to solve the greatest common divisor of 493, 363, 41 i.e 1 in different methods as follows.
Given Input numbers are 493, 363, 41
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 363 :
The positive integer divisors of 363 that completely divides 363 are.
1, 3, 11, 33, 121, 363
Divisors of 41 :
The positive integer divisors of 41 that completely divides 41 are.
1, 41
GCD of numbers is the greatest common divisor
So, the GCD (493, 363, 41) = 1.
Given numbers are 493, 363, 41
The list of prime factors of all numbers are
Prime factors of 493 are 17 x 29
Prime factors of 363 are 3 x 11 x 11
Prime factors of 41 are 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 493, 363, 41
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(493, 363) = 178959
GCD(493, 363) = ( 493 x 363 ) / 178959
= 493 / 363
= 493
Step2:
LCM(1, 41) = 41
GCD(1, 41) = ( 1 x 41 ) / 41
= 1 / 41
= 1
So, Greatest Common Divisor of 493, 363, 41 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 493, 363, 41
The greatest common divisor of numbers 493, 363, 41 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 493, 363, 41 is 1.
1. What is the GCD of 493, 363, 41?
GCD of given numbers 493, 363, 41 is 1
2. How to calculate the greatest common divisor of 493, 363, 41?
We can find the highest common divisor of 493, 363, 41 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, 363, 41 i.e 1.
3. How can I use the GCD of 493, 363, 41Calculator?
Out the numbers 493, 363, 41 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.