Online GCD Calculator is useful to find the GCD of 489, 761, 412, 462 quickly. Get the easiest ways to solve the greatest common divisor of 489, 761, 412, 462 i.e 1 in different methods as follows.
Given Input numbers are 489, 761, 412, 462
In the factoring method, we have to find the divisors of all numbers
Divisors of 489 :
The positive integer divisors of 489 that completely divides 489 are.
1, 3, 163, 489
Divisors of 761 :
The positive integer divisors of 761 that completely divides 761 are.
1, 761
Divisors of 412 :
The positive integer divisors of 412 that completely divides 412 are.
1, 2, 4, 103, 206, 412
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
GCD of numbers is the greatest common divisor
So, the GCD (489, 761, 412, 462) = 1.
Given numbers are 489, 761, 412, 462
The list of prime factors of all numbers are
Prime factors of 489 are 3 x 163
Prime factors of 761 are 761
Prime factors of 412 are 2 x 2 x 103
Prime factors of 462 are 2 x 3 x 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 489, 761, 412, 462
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(489, 761) = 372129
GCD(489, 761) = ( 489 x 761 ) / 372129
= 489 / 761
= 489
Step2:
LCM(1, 412) = 412
GCD(1, 412) = ( 1 x 412 ) / 412
= 1 / 412
= 1
Step3:
LCM(1, 462) = 462
GCD(1, 462) = ( 1 x 462 ) / 462
= 1 / 462
= 1
So, Greatest Common Divisor of 489, 761, 412, 462 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 489, 761, 412, 462
The greatest common divisor of numbers 489, 761, 412, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 761, 412, 462 is 1.
1. What is the GCD of 489, 761, 412, 462?
GCD of given numbers 489, 761, 412, 462 is 1
2. How to calculate the greatest common divisor of 489, 761, 412, 462?
We can find the highest common divisor of 489, 761, 412, 462 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 489, 761, 412, 462 i.e 1.
3. How can I use the GCD of 489, 761, 412, 462Calculator?
Out the numbers 489, 761, 412, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.