Online GCD Calculator is useful to find the GCD of 489, 452, 880, 916 quickly. Get the easiest ways to solve the greatest common divisor of 489, 452, 880, 916 i.e 1 in different methods as follows.
Given Input numbers are 489, 452, 880, 916
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 452 :
The positive integer divisors of 452 that completely divides 452 are.
1, 2, 4, 113, 226, 452
Divisors of 880 :
The positive integer divisors of 880 that completely divides 880 are.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
Divisors of 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
GCD of numbers is the greatest common divisor
So, the GCD (489, 452, 880, 916) = 1.
Given numbers are 489, 452, 880, 916
The list of prime factors of all numbers are
Prime factors of 489 are 3 x 163
Prime factors of 452 are 2 x 2 x 113
Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11
Prime factors of 916 are 2 x 2 x 229
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 489, 452, 880, 916
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(489, 452) = 221028
GCD(489, 452) = ( 489 x 452 ) / 221028
= 489 / 452
= 489
Step2:
LCM(1, 880) = 880
GCD(1, 880) = ( 1 x 880 ) / 880
= 1 / 880
= 1
Step3:
LCM(1, 916) = 916
GCD(1, 916) = ( 1 x 916 ) / 916
= 1 / 916
= 1
So, Greatest Common Divisor of 489, 452, 880, 916 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 489, 452, 880, 916
The greatest common divisor of numbers 489, 452, 880, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 452, 880, 916 is 1.
1. What is the GCD of 489, 452, 880, 916?
GCD of given numbers 489, 452, 880, 916 is 1
2. How to calculate the greatest common divisor of 489, 452, 880, 916?
We can find the highest common divisor of 489, 452, 880, 916 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, 452, 880, 916 i.e 1.
3. How can I use the GCD of 489, 452, 880, 916Calculator?
Out the numbers 489, 452, 880, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.