Online GCD Calculator is useful to find the GCD of 123, 504, 629, 353 quickly. Get the easiest ways to solve the greatest common divisor of 123, 504, 629, 353 i.e 1 in different methods as follows.
Given Input numbers are 123, 504, 629, 353
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 504 :
The positive integer divisors of 504 that completely divides 504 are.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Divisors of 629 :
The positive integer divisors of 629 that completely divides 629 are.
1, 17, 37, 629
Divisors of 353 :
The positive integer divisors of 353 that completely divides 353 are.
1, 353
GCD of numbers is the greatest common divisor
So, the GCD (123, 504, 629, 353) = 1.
Given numbers are 123, 504, 629, 353
The list of prime factors of all numbers are
Prime factors of 123 are 3 x 41
Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7
Prime factors of 629 are 17 x 37
Prime factors of 353 are 353
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 123, 504, 629, 353
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(123, 504) = 20664
GCD(123, 504) = ( 123 x 504 ) / 20664
= 123 / 504
= 123
Step2:
LCM(3, 629) = 1887
GCD(3, 629) = ( 3 x 629 ) / 1887
= 3 / 629
= 3
Step3:
LCM(1, 353) = 353
GCD(1, 353) = ( 1 x 353 ) / 353
= 1 / 353
= 1
So, Greatest Common Divisor of 123, 504, 629, 353 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 123, 504, 629, 353
The greatest common divisor of numbers 123, 504, 629, 353 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 504, 629, 353 is 1.
1. What is the GCD of 123, 504, 629, 353?
GCD of given numbers 123, 504, 629, 353 is 1
2. How to calculate the greatest common divisor of 123, 504, 629, 353?
We can find the highest common divisor of 123, 504, 629, 353 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, 504, 629, 353 i.e 1.
3. How can I use the GCD of 123, 504, 629, 353Calculator?
Out the numbers 123, 504, 629, 353 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.