Online GCD Calculator is useful to find the GCD of 195, 325, 494, 533 quickly. Get the easiest ways to solve the greatest common divisor of 195, 325, 494, 533 i.e 13 in different methods as follows.
Given Input numbers are 195, 325, 494, 533
In the factoring method, we have to find the divisors of all numbers
Divisors of 195 :
The positive integer divisors of 195 that completely divides 195 are.
1, 3, 5, 13, 15, 39, 65, 195
Divisors of 325 :
The positive integer divisors of 325 that completely divides 325 are.
1, 5, 13, 25, 65, 325
Divisors of 494 :
The positive integer divisors of 494 that completely divides 494 are.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 533 :
The positive integer divisors of 533 that completely divides 533 are.
1, 13, 41, 533
GCD of numbers is the greatest common divisor
So, the GCD (195, 325, 494, 533) = 13.
Given numbers are 195, 325, 494, 533
The list of prime factors of all numbers are
Prime factors of 195 are 3 x 5 x 13
Prime factors of 325 are 5 x 5 x 13
Prime factors of 494 are 2 x 13 x 19
Prime factors of 533 are 13 x 41
The highest common occurrence is 131
Therefore, GCD of 195, 325, 494, 533 is 13.
Given numbers are 195, 325, 494, 533
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(195, 325) = 975
GCD(195, 325) = ( 195 x 325 ) / 975
= 195 / 325
= 195
Step2:
LCM(65, 494) = 2470
GCD(65, 494) = ( 65 x 494 ) / 2470
= 65 / 494
= 65
Step3:
LCM(13, 533) = 533
GCD(13, 533) = ( 13 x 533 ) / 533
= 13 / 533
= 13
So, Greatest Common Divisor of 195, 325, 494, 533 is 13
Here are some samples of GCD of Numbers calculations.
Given numbers are 195, 325, 494, 533
The greatest common divisor of numbers 195, 325, 494, 533 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 195, 325, 494, 533 is 13.
1. What is the GCD of 195, 325, 494, 533?
GCD of given numbers 195, 325, 494, 533 is 13
2. How to calculate the greatest common divisor of 195, 325, 494, 533?
We can find the highest common divisor of 195, 325, 494, 533 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 195, 325, 494, 533 i.e 13.
3. How can I use the GCD of 195, 325, 494, 533Calculator?
Out the numbers 195, 325, 494, 533 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.