Online GCD Calculator is useful to find the GCD of 145, 462, 499, 309 quickly. Get the easiest ways to solve the greatest common divisor of 145, 462, 499, 309 i.e 1 in different methods as follows.
Given Input numbers are 145, 462, 499, 309
In the factoring method, we have to find the divisors of all numbers
Divisors of 145 :
The positive integer divisors of 145 that completely divides 145 are.
1, 5, 29, 145
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 499 :
The positive integer divisors of 499 that completely divides 499 are.
1, 499
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
GCD of numbers is the greatest common divisor
So, the GCD (145, 462, 499, 309) = 1.
Given numbers are 145, 462, 499, 309
The list of prime factors of all numbers are
Prime factors of 145 are 5 x 29
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 499 are 499
Prime factors of 309 are 3 x 103
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 145, 462, 499, 309
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(145, 462) = 66990
GCD(145, 462) = ( 145 x 462 ) / 66990
= 145 / 462
= 145
Step2:
LCM(1, 499) = 499
GCD(1, 499) = ( 1 x 499 ) / 499
= 1 / 499
= 1
Step3:
LCM(1, 309) = 309
GCD(1, 309) = ( 1 x 309 ) / 309
= 1 / 309
= 1
So, Greatest Common Divisor of 145, 462, 499, 309 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 145, 462, 499, 309
The greatest common divisor of numbers 145, 462, 499, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 145, 462, 499, 309 is 1.
1. What is the GCD of 145, 462, 499, 309?
GCD of given numbers 145, 462, 499, 309 is 1
2. How to calculate the greatest common divisor of 145, 462, 499, 309?
We can find the highest common divisor of 145, 462, 499, 309 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 145, 462, 499, 309 i.e 1.
3. How can I use the GCD of 145, 462, 499, 309Calculator?
Out the numbers 145, 462, 499, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.