Online GCD Calculator is useful to find the GCD of 398, 504, 617, 505 quickly. Get the easiest ways to solve the greatest common divisor of 398, 504, 617, 505 i.e 1 in different methods as follows.
Given Input numbers are 398, 504, 617, 505
In the factoring method, we have to find the divisors of all numbers
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
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 617 :
The positive integer divisors of 617 that completely divides 617 are.
1, 617
Divisors of 505 :
The positive integer divisors of 505 that completely divides 505 are.
1, 5, 101, 505
GCD of numbers is the greatest common divisor
So, the GCD (398, 504, 617, 505) = 1.
Given numbers are 398, 504, 617, 505
The list of prime factors of all numbers are
Prime factors of 398 are 2 x 199
Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7
Prime factors of 617 are 617
Prime factors of 505 are 5 x 101
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 398, 504, 617, 505
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(398, 504) = 100296
GCD(398, 504) = ( 398 x 504 ) / 100296
= 398 / 504
= 398
Step2:
LCM(2, 617) = 1234
GCD(2, 617) = ( 2 x 617 ) / 1234
= 2 / 617
= 2
Step3:
LCM(1, 505) = 505
GCD(1, 505) = ( 1 x 505 ) / 505
= 1 / 505
= 1
So, Greatest Common Divisor of 398, 504, 617, 505 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 398, 504, 617, 505
The greatest common divisor of numbers 398, 504, 617, 505 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 504, 617, 505 is 1.
1. What is the GCD of 398, 504, 617, 505?
GCD of given numbers 398, 504, 617, 505 is 1
2. How to calculate the greatest common divisor of 398, 504, 617, 505?
We can find the highest common divisor of 398, 504, 617, 505 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 398, 504, 617, 505 i.e 1.
3. How can I use the GCD of 398, 504, 617, 505Calculator?
Out the numbers 398, 504, 617, 505 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.