Online GCD Calculator is useful to find the GCD of 489, 310, 221, 975 quickly. Get the easiest ways to solve the greatest common divisor of 489, 310, 221, 975 i.e 1 in different methods as follows.
Given Input numbers are 489, 310, 221, 975
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 310 :
The positive integer divisors of 310 that completely divides 310 are.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 221 :
The positive integer divisors of 221 that completely divides 221 are.
1, 13, 17, 221
Divisors of 975 :
The positive integer divisors of 975 that completely divides 975 are.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
GCD of numbers is the greatest common divisor
So, the GCD (489, 310, 221, 975) = 1.
Given numbers are 489, 310, 221, 975
The list of prime factors of all numbers are
Prime factors of 489 are 3 x 163
Prime factors of 310 are 2 x 5 x 31
Prime factors of 221 are 13 x 17
Prime factors of 975 are 3 x 5 x 5 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 489, 310, 221, 975
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(489, 310) = 151590
GCD(489, 310) = ( 489 x 310 ) / 151590
= 489 / 310
= 489
Step2:
LCM(1, 221) = 221
GCD(1, 221) = ( 1 x 221 ) / 221
= 1 / 221
= 1
Step3:
LCM(1, 975) = 975
GCD(1, 975) = ( 1 x 975 ) / 975
= 1 / 975
= 1
So, Greatest Common Divisor of 489, 310, 221, 975 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 489, 310, 221, 975
The greatest common divisor of numbers 489, 310, 221, 975 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 310, 221, 975 is 1.
1. What is the GCD of 489, 310, 221, 975?
GCD of given numbers 489, 310, 221, 975 is 1
2. How to calculate the greatest common divisor of 489, 310, 221, 975?
We can find the highest common divisor of 489, 310, 221, 975 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, 310, 221, 975 i.e 1.
3. How can I use the GCD of 489, 310, 221, 975Calculator?
Out the numbers 489, 310, 221, 975 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.