Online GCD Calculator is useful to find the GCD of 123, 178, 704, 518 quickly. Get the easiest ways to solve the greatest common divisor of 123, 178, 704, 518 i.e 1 in different methods as follows.
Given Input numbers are 123, 178, 704, 518
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 178 :
The positive integer divisors of 178 that completely divides 178 are.
1, 2, 89, 178
Divisors of 704 :
The positive integer divisors of 704 that completely divides 704 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 518 :
The positive integer divisors of 518 that completely divides 518 are.
1, 2, 7, 14, 37, 74, 259, 518
GCD of numbers is the greatest common divisor
So, the GCD (123, 178, 704, 518) = 1.
Given numbers are 123, 178, 704, 518
The list of prime factors of all numbers are
Prime factors of 123 are 3 x 41
Prime factors of 178 are 2 x 89
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 518 are 2 x 7 x 37
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 123, 178, 704, 518
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(123, 178) = 21894
GCD(123, 178) = ( 123 x 178 ) / 21894
= 123 / 178
= 123
Step2:
LCM(1, 704) = 704
GCD(1, 704) = ( 1 x 704 ) / 704
= 1 / 704
= 1
Step3:
LCM(1, 518) = 518
GCD(1, 518) = ( 1 x 518 ) / 518
= 1 / 518
= 1
So, Greatest Common Divisor of 123, 178, 704, 518 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 123, 178, 704, 518
The greatest common divisor of numbers 123, 178, 704, 518 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 178, 704, 518 is 1.
1. What is the GCD of 123, 178, 704, 518?
GCD of given numbers 123, 178, 704, 518 is 1
2. How to calculate the greatest common divisor of 123, 178, 704, 518?
We can find the highest common divisor of 123, 178, 704, 518 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, 178, 704, 518 i.e 1.
3. How can I use the GCD of 123, 178, 704, 518Calculator?
Out the numbers 123, 178, 704, 518 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.