GCD of 513, 323, 475 Calculator

Given Input numbers are 513, 323, 475

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 323 :

The positive integer divisors of 323 that completely divides 323 are.

1, 17, 19, 323

Divisors of 475 :

The positive integer divisors of 475 that completely divides 475 are.

1, 5, 19, 25, 95, 475

GCD of numbers is the greatest common divisor

So, the GCD (513, 323, 475) = 19.

Given numbers are 513, 323, 475

The list of prime factors of all numbers are

Prime factors of 513 are 3 x 3 x 3 x 19

Prime factors of 323 are 17 x 19

Prime factors of 475 are 5 x 5 x 19

The highest common occurrence is 19¹

Therefore, GCD of 513, 323, 475 is 19.

Given numbers are 513, 323, 475

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(513, 323) = 8721

GCD(513, 323) = ( 513 x 323 ) / 8721

= 513 / 323

= 513

Step2:

LCM(19, 475) = 475

GCD(19, 475) = ( 19 x 475 ) / 475

= 19 / 475

= 19

So, Greatest Common Divisor of 513, 323, 475 is 19

Here are some samples of GCD of Numbers calculations.

• GCD of 331, 516, 969
• GCD of 329, 450, 786
• GCD of 762, 373, 879
• GCD of 211, 333, 506
• GCD of 435, 823, 537

Given numbers are 513, 323, 475
The greatest common divisor of numbers 513, 323, 475 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 323, 475 is 19.

1. What is the GCD of 513, 323, 475?

GCD of given numbers 513, 323, 475 is 19

2. How to calculate the greatest common divisor of 513, 323, 475?

We can find the highest common divisor of 513, 323, 475 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, 323, 475 i.e 19.

3. How can I use the GCD of 513, 323, 475Calculator?

Out the numbers 513, 323, 475 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.