Online GCD Calculator is useful to find the GCD of 513, 492, 465, 717 quickly. Get the easiest ways to solve the greatest common divisor of 513, 492, 465, 717 i.e 3 in different methods as follows.
Given Input numbers are 513, 492, 465, 717
In the factoring method, we have to find the divisors of all numbers
Divisors of 513 :
The positive integer divisors of 513 that completely divides 513 are.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 492 :
The positive integer divisors of 492 that completely divides 492 are.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Divisors of 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 717 :
The positive integer divisors of 717 that completely divides 717 are.
1, 3, 239, 717
GCD of numbers is the greatest common divisor
So, the GCD (513, 492, 465, 717) = 3.
Given numbers are 513, 492, 465, 717
The list of prime factors of all numbers are
Prime factors of 513 are 3 x 3 x 3 x 19
Prime factors of 492 are 2 x 2 x 3 x 41
Prime factors of 465 are 3 x 5 x 31
Prime factors of 717 are 3 x 239
The highest common occurrence is 31
Therefore, GCD of 513, 492, 465, 717 is 3.
Given numbers are 513, 492, 465, 717
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(513, 492) = 84132
GCD(513, 492) = ( 513 x 492 ) / 84132
= 513 / 492
= 513
Step2:
LCM(3, 465) = 465
GCD(3, 465) = ( 3 x 465 ) / 465
= 3 / 465
= 3
Step3:
LCM(3, 717) = 717
GCD(3, 717) = ( 3 x 717 ) / 717
= 3 / 717
= 3
So, Greatest Common Divisor of 513, 492, 465, 717 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 513, 492, 465, 717
The greatest common divisor of numbers 513, 492, 465, 717 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 492, 465, 717 is 3.
1. What is the GCD of 513, 492, 465, 717?
GCD of given numbers 513, 492, 465, 717 is 3
2. How to calculate the greatest common divisor of 513, 492, 465, 717?
We can find the highest common divisor of 513, 492, 465, 717 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 513, 492, 465, 717 i.e 3.
3. How can I use the GCD of 513, 492, 465, 717Calculator?
Out the numbers 513, 492, 465, 717 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.