GCD of 600, 915, 513 Calculator

Given Input numbers are 600, 915, 513

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Greatest Common Divisior

We found the divisors of 600, 915, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 915, 513 is 3.

Therefore, GCD of numbers 600, 915, 513 is 3

Given Input Data is 600, 915, 513

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 513 is 3 x 3 x 3 x 19

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

Step1:

Let's calculate the GCD of first two numbers

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

LCM(600, 915) = 36600

GCD(600, 915) = ( 600 x 915 ) / 36600

GCD(600, 915) = 549000 / 36600

GCD(600, 915) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 513

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

LCM(15, 513) = 2565

GCD(15, 513) = ( 15 x 513 ) / 2565

GCD(15, 513) = 7695 / 2565

GCD(15, 513) = 3

GCD of 600, 915, 513 is 3

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1. What is the GCD of 600, 915, 513?

GCD of 600, 915, 513 is 3

2. Where do I get the detailed procedure to find GCD of 600, 915, 513?

You can find a detailed procedure to find GCD of 600, 915, 513 on our page.

3. How to find GCD of 600, 915, 513 on a calculator?

You can find the GCD of 600, 915, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.