Online GCD Calculator is useful to find the GCD of 508, 313, 823, 225 quickly. Get the easiest ways to solve the greatest common divisor of 508, 313, 823, 225 i.e 1 in different methods as follows.
Given Input numbers are 508, 313, 823, 225
In the factoring method, we have to find the divisors of all numbers
Divisors of 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
Divisors of 313 :
The positive integer divisors of 313 that completely divides 313 are.
1, 313
Divisors of 823 :
The positive integer divisors of 823 that completely divides 823 are.
1, 823
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
GCD of numbers is the greatest common divisor
So, the GCD (508, 313, 823, 225) = 1.
Given numbers are 508, 313, 823, 225
The list of prime factors of all numbers are
Prime factors of 508 are 2 x 2 x 127
Prime factors of 313 are 313
Prime factors of 823 are 823
Prime factors of 225 are 3 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 508, 313, 823, 225
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(508, 313) = 159004
GCD(508, 313) = ( 508 x 313 ) / 159004
= 508 / 313
= 508
Step2:
LCM(1, 823) = 823
GCD(1, 823) = ( 1 x 823 ) / 823
= 1 / 823
= 1
Step3:
LCM(1, 225) = 225
GCD(1, 225) = ( 1 x 225 ) / 225
= 1 / 225
= 1
So, Greatest Common Divisor of 508, 313, 823, 225 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 508, 313, 823, 225
The greatest common divisor of numbers 508, 313, 823, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 313, 823, 225 is 1.
1. What is the GCD of 508, 313, 823, 225?
GCD of given numbers 508, 313, 823, 225 is 1
2. How to calculate the greatest common divisor of 508, 313, 823, 225?
We can find the highest common divisor of 508, 313, 823, 225 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 508, 313, 823, 225 i.e 1.
3. How can I use the GCD of 508, 313, 823, 225Calculator?
Out the numbers 508, 313, 823, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.