Online GCD Calculator is useful to find the GCD of 494, 732, 745, 311 quickly. Get the easiest ways to solve the greatest common divisor of 494, 732, 745, 311 i.e 1 in different methods as follows.
Given Input numbers are 494, 732, 745, 311
In the factoring method, we have to find the divisors of all numbers
Divisors of 494 :
The positive integer divisors of 494 that completely divides 494 are.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 745 :
The positive integer divisors of 745 that completely divides 745 are.
1, 5, 149, 745
Divisors of 311 :
The positive integer divisors of 311 that completely divides 311 are.
1, 311
GCD of numbers is the greatest common divisor
So, the GCD (494, 732, 745, 311) = 1.
Given numbers are 494, 732, 745, 311
The list of prime factors of all numbers are
Prime factors of 494 are 2 x 13 x 19
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 745 are 5 x 149
Prime factors of 311 are 311
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 494, 732, 745, 311
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(494, 732) = 180804
GCD(494, 732) = ( 494 x 732 ) / 180804
= 494 / 732
= 494
Step2:
LCM(2, 745) = 1490
GCD(2, 745) = ( 2 x 745 ) / 1490
= 2 / 745
= 2
Step3:
LCM(1, 311) = 311
GCD(1, 311) = ( 1 x 311 ) / 311
= 1 / 311
= 1
So, Greatest Common Divisor of 494, 732, 745, 311 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 494, 732, 745, 311
The greatest common divisor of numbers 494, 732, 745, 311 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 732, 745, 311 is 1.
1. What is the GCD of 494, 732, 745, 311?
GCD of given numbers 494, 732, 745, 311 is 1
2. How to calculate the greatest common divisor of 494, 732, 745, 311?
We can find the highest common divisor of 494, 732, 745, 311 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 494, 732, 745, 311 i.e 1.
3. How can I use the GCD of 494, 732, 745, 311Calculator?
Out the numbers 494, 732, 745, 311 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.