Online GCD Calculator is useful to find the GCD of 123, 390, 463, 548 quickly. Get the easiest ways to solve the greatest common divisor of 123, 390, 463, 548 i.e 1 in different methods as follows.
Given Input numbers are 123, 390, 463, 548
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 390 :
The positive integer divisors of 390 that completely divides 390 are.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 463 :
The positive integer divisors of 463 that completely divides 463 are.
1, 463
Divisors of 548 :
The positive integer divisors of 548 that completely divides 548 are.
1, 2, 4, 137, 274, 548
GCD of numbers is the greatest common divisor
So, the GCD (123, 390, 463, 548) = 1.
Given numbers are 123, 390, 463, 548
The list of prime factors of all numbers are
Prime factors of 123 are 3 x 41
Prime factors of 390 are 2 x 3 x 5 x 13
Prime factors of 463 are 463
Prime factors of 548 are 2 x 2 x 137
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 123, 390, 463, 548
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(123, 390) = 15990
GCD(123, 390) = ( 123 x 390 ) / 15990
= 123 / 390
= 123
Step2:
LCM(3, 463) = 1389
GCD(3, 463) = ( 3 x 463 ) / 1389
= 3 / 463
= 3
Step3:
LCM(1, 548) = 548
GCD(1, 548) = ( 1 x 548 ) / 548
= 1 / 548
= 1
So, Greatest Common Divisor of 123, 390, 463, 548 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 123, 390, 463, 548
The greatest common divisor of numbers 123, 390, 463, 548 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 390, 463, 548 is 1.
1. What is the GCD of 123, 390, 463, 548?
GCD of given numbers 123, 390, 463, 548 is 1
2. How to calculate the greatest common divisor of 123, 390, 463, 548?
We can find the highest common divisor of 123, 390, 463, 548 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, 390, 463, 548 i.e 1.
3. How can I use the GCD of 123, 390, 463, 548Calculator?
Out the numbers 123, 390, 463, 548 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.