Online GCD Calculator is useful to find the GCD of 489, 795, 235, 315 quickly. Get the easiest ways to solve the greatest common divisor of 489, 795, 235, 315 i.e 1 in different methods as follows.
Given Input numbers are 489, 795, 235, 315
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 795 :
The positive integer divisors of 795 that completely divides 795 are.
1, 3, 5, 15, 53, 159, 265, 795
Divisors of 235 :
The positive integer divisors of 235 that completely divides 235 are.
1, 5, 47, 235
Divisors of 315 :
The positive integer divisors of 315 that completely divides 315 are.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
GCD of numbers is the greatest common divisor
So, the GCD (489, 795, 235, 315) = 1.
Given numbers are 489, 795, 235, 315
The list of prime factors of all numbers are
Prime factors of 489 are 3 x 163
Prime factors of 795 are 3 x 5 x 53
Prime factors of 235 are 5 x 47
Prime factors of 315 are 3 x 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 489, 795, 235, 315
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(489, 795) = 129585
GCD(489, 795) = ( 489 x 795 ) / 129585
= 489 / 795
= 489
Step2:
LCM(3, 235) = 705
GCD(3, 235) = ( 3 x 235 ) / 705
= 3 / 235
= 3
Step3:
LCM(1, 315) = 315
GCD(1, 315) = ( 1 x 315 ) / 315
= 1 / 315
= 1
So, Greatest Common Divisor of 489, 795, 235, 315 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 489, 795, 235, 315
The greatest common divisor of numbers 489, 795, 235, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 795, 235, 315 is 1.
1. What is the GCD of 489, 795, 235, 315?
GCD of given numbers 489, 795, 235, 315 is 1
2. How to calculate the greatest common divisor of 489, 795, 235, 315?
We can find the highest common divisor of 489, 795, 235, 315 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, 795, 235, 315 i.e 1.
3. How can I use the GCD of 489, 795, 235, 315Calculator?
Out the numbers 489, 795, 235, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.