Online GCD Calculator is useful to find the GCD of 489, 301, 466, 972 quickly. Get the easiest ways to solve the greatest common divisor of 489, 301, 466, 972 i.e 1 in different methods as follows.
Given Input numbers are 489, 301, 466, 972
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 301 :
The positive integer divisors of 301 that completely divides 301 are.
1, 7, 43, 301
Divisors of 466 :
The positive integer divisors of 466 that completely divides 466 are.
1, 2, 233, 466
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
GCD of numbers is the greatest common divisor
So, the GCD (489, 301, 466, 972) = 1.
Given numbers are 489, 301, 466, 972
The list of prime factors of all numbers are
Prime factors of 489 are 3 x 163
Prime factors of 301 are 7 x 43
Prime factors of 466 are 2 x 233
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 489, 301, 466, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(489, 301) = 147189
GCD(489, 301) = ( 489 x 301 ) / 147189
= 489 / 301
= 489
Step2:
LCM(1, 466) = 466
GCD(1, 466) = ( 1 x 466 ) / 466
= 1 / 466
= 1
Step3:
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
= 1 / 972
= 1
So, Greatest Common Divisor of 489, 301, 466, 972 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 489, 301, 466, 972
The greatest common divisor of numbers 489, 301, 466, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 301, 466, 972 is 1.
1. What is the GCD of 489, 301, 466, 972?
GCD of given numbers 489, 301, 466, 972 is 1
2. How to calculate the greatest common divisor of 489, 301, 466, 972?
We can find the highest common divisor of 489, 301, 466, 972 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, 301, 466, 972 i.e 1.
3. How can I use the GCD of 489, 301, 466, 972Calculator?
Out the numbers 489, 301, 466, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.