Online GCD Calculator is useful to find the GCD of 504, 314, 199, 350 quickly. Get the easiest ways to solve the greatest common divisor of 504, 314, 199, 350 i.e 1 in different methods as follows.
Given Input numbers are 504, 314, 199, 350
In the factoring method, we have to find the divisors of all numbers
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 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
Divisors of 199 :
The positive integer divisors of 199 that completely divides 199 are.
1, 199
Divisors of 350 :
The positive integer divisors of 350 that completely divides 350 are.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
GCD of numbers is the greatest common divisor
So, the GCD (504, 314, 199, 350) = 1.
Given numbers are 504, 314, 199, 350
The list of prime factors of all numbers are
Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7
Prime factors of 314 are 2 x 157
Prime factors of 199 are 199
Prime factors of 350 are 2 x 5 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 504, 314, 199, 350
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(504, 314) = 79128
GCD(504, 314) = ( 504 x 314 ) / 79128
= 504 / 314
= 504
Step2:
LCM(2, 199) = 398
GCD(2, 199) = ( 2 x 199 ) / 398
= 2 / 199
= 2
Step3:
LCM(1, 350) = 350
GCD(1, 350) = ( 1 x 350 ) / 350
= 1 / 350
= 1
So, Greatest Common Divisor of 504, 314, 199, 350 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 504, 314, 199, 350
The greatest common divisor of numbers 504, 314, 199, 350 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 314, 199, 350 is 1.
1. What is the GCD of 504, 314, 199, 350?
GCD of given numbers 504, 314, 199, 350 is 1
2. How to calculate the greatest common divisor of 504, 314, 199, 350?
We can find the highest common divisor of 504, 314, 199, 350 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 504, 314, 199, 350 i.e 1.
3. How can I use the GCD of 504, 314, 199, 350Calculator?
Out the numbers 504, 314, 199, 350 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.