Online GCD Calculator is useful to find the GCD of 585, 144, 308, 618 quickly. Get the easiest ways to solve the greatest common divisor of 585, 144, 308, 618 i.e 1 in different methods as follows.
Given Input numbers are 585, 144, 308, 618
In the factoring method, we have to find the divisors of all numbers
Divisors of 585 :
The positive integer divisors of 585 that completely divides 585 are.
1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 618 :
The positive integer divisors of 618 that completely divides 618 are.
1, 2, 3, 6, 103, 206, 309, 618
GCD of numbers is the greatest common divisor
So, the GCD (585, 144, 308, 618) = 1.
Given numbers are 585, 144, 308, 618
The list of prime factors of all numbers are
Prime factors of 585 are 3 x 3 x 5 x 13
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 618 are 2 x 3 x 103
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 585, 144, 308, 618
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(585, 144) = 9360
GCD(585, 144) = ( 585 x 144 ) / 9360
= 585 / 144
= 585
Step2:
LCM(9, 308) = 2772
GCD(9, 308) = ( 9 x 308 ) / 2772
= 9 / 308
= 9
Step3:
LCM(1, 618) = 618
GCD(1, 618) = ( 1 x 618 ) / 618
= 1 / 618
= 1
So, Greatest Common Divisor of 585, 144, 308, 618 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 585, 144, 308, 618
The greatest common divisor of numbers 585, 144, 308, 618 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 144, 308, 618 is 1.
1. What is the GCD of 585, 144, 308, 618?
GCD of given numbers 585, 144, 308, 618 is 1
2. How to calculate the greatest common divisor of 585, 144, 308, 618?
We can find the highest common divisor of 585, 144, 308, 618 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 585, 144, 308, 618 i.e 1.
3. How can I use the GCD of 585, 144, 308, 618Calculator?
Out the numbers 585, 144, 308, 618 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.