Online GCD Calculator is useful to find the GCD of 465, 300, 313, 533 quickly. Get the easiest ways to solve the greatest common divisor of 465, 300, 313, 533 i.e 1 in different methods as follows.
Given Input numbers are 465, 300, 313, 533
In the factoring method, we have to find the divisors of all numbers
Divisors of 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 313 :
The positive integer divisors of 313 that completely divides 313 are.
1, 313
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 (465, 300, 313, 533) = 1.
Given numbers are 465, 300, 313, 533
The list of prime factors of all numbers are
Prime factors of 465 are 3 x 5 x 31
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
Prime factors of 313 are 313
Prime factors of 533 are 13 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 465, 300, 313, 533
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(465, 300) = 9300
GCD(465, 300) = ( 465 x 300 ) / 9300
= 465 / 300
= 465
Step2:
LCM(15, 313) = 4695
GCD(15, 313) = ( 15 x 313 ) / 4695
= 15 / 313
= 15
Step3:
LCM(1, 533) = 533
GCD(1, 533) = ( 1 x 533 ) / 533
= 1 / 533
= 1
So, Greatest Common Divisor of 465, 300, 313, 533 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 465, 300, 313, 533
The greatest common divisor of numbers 465, 300, 313, 533 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 465, 300, 313, 533 is 1.
1. What is the GCD of 465, 300, 313, 533?
GCD of given numbers 465, 300, 313, 533 is 1
2. How to calculate the greatest common divisor of 465, 300, 313, 533?
We can find the highest common divisor of 465, 300, 313, 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 465, 300, 313, 533 i.e 1.
3. How can I use the GCD of 465, 300, 313, 533Calculator?
Out the numbers 465, 300, 313, 533 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.