Online GCD Calculator is useful to find the GCD of 487, 600, 15 quickly. Get the easiest ways to solve the greatest common divisor of 487, 600, 15 i.e 1 in different methods as follows.
Given Input numbers are 487, 600, 15
In the factoring method, we have to find the divisors of all numbers
Divisors of 487 :
The positive integer divisors of 487 that completely divides 487 are.
1, 487
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 15 :
The positive integer divisors of 15 that completely divides 15 are.
1, 3, 5, 15
GCD of numbers is the greatest common divisor
So, the GCD (487, 600, 15) = 1.
Given numbers are 487, 600, 15
The list of prime factors of all numbers are
Prime factors of 487 are 487
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 15 are 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 487, 600, 15
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(487, 600) = 292200
GCD(487, 600) = ( 487 x 600 ) / 292200
= 487 / 600
= 487
Step2:
LCM(1, 15) = 15
GCD(1, 15) = ( 1 x 15 ) / 15
= 1 / 15
= 1
So, Greatest Common Divisor of 487, 600, 15 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 487, 600, 15
The greatest common divisor of numbers 487, 600, 15 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 487, 600, 15 is 1.
1. What is the GCD of 487, 600, 15?
GCD of given numbers 487, 600, 15 is 1
2. How to calculate the greatest common divisor of 487, 600, 15?
We can find the highest common divisor of 487, 600, 15 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 487, 600, 15 i.e 1.
3. How can I use the GCD of 487, 600, 15Calculator?
Out the numbers 487, 600, 15 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.