Online GCD Calculator is useful to find the GCD of 123, 586, 245, 312 quickly. Get the easiest ways to solve the greatest common divisor of 123, 586, 245, 312 i.e 1 in different methods as follows.
Given Input numbers are 123, 586, 245, 312
In the factoring method, we have to find the divisors of all numbers
Divisors of 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
Divisors of 586 :
The positive integer divisors of 586 that completely divides 586 are.
1, 2, 293, 586
Divisors of 245 :
The positive integer divisors of 245 that completely divides 245 are.
1, 5, 7, 35, 49, 245
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
GCD of numbers is the greatest common divisor
So, the GCD (123, 586, 245, 312) = 1.
Given numbers are 123, 586, 245, 312
The list of prime factors of all numbers are
Prime factors of 123 are 3 x 41
Prime factors of 586 are 2 x 293
Prime factors of 245 are 5 x 7 x 7
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 123, 586, 245, 312
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(123, 586) = 72078
GCD(123, 586) = ( 123 x 586 ) / 72078
= 123 / 586
= 123
Step2:
LCM(1, 245) = 245
GCD(1, 245) = ( 1 x 245 ) / 245
= 1 / 245
= 1
Step3:
LCM(1, 312) = 312
GCD(1, 312) = ( 1 x 312 ) / 312
= 1 / 312
= 1
So, Greatest Common Divisor of 123, 586, 245, 312 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 123, 586, 245, 312
The greatest common divisor of numbers 123, 586, 245, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 586, 245, 312 is 1.
1. What is the GCD of 123, 586, 245, 312?
GCD of given numbers 123, 586, 245, 312 is 1
2. How to calculate the greatest common divisor of 123, 586, 245, 312?
We can find the highest common divisor of 123, 586, 245, 312 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 123, 586, 245, 312 i.e 1.
3. How can I use the GCD of 123, 586, 245, 312Calculator?
Out the numbers 123, 586, 245, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.