GCD of 513, 492, 465, 717 Calculator

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.

• GCD of 608, 164, 912, 861
• GCD of 206, 236, 526, 735
• GCD of 101, 213, 518, 410
• GCD of 648, 771, 551, 604
• GCD of 422, 808, 921, 125

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.