GCD of 500, 325, 225, 610 Calculator

Given Input numbers are 500, 325, 225, 610

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

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 325

List of positive integer divisors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Greatest Common Divisior

We found the divisors of 500, 325, 225, 610 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 325, 225, 610 is 5.

Therefore, GCD of numbers 500, 325, 225, 610 is 5

Given Input Data is 500, 325, 225, 610

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

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 325 is 5 x 5 x 13

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 610 is 2 x 5 x 61

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(500, 325) = 6500

GCD(500, 325) = ( 500 x 325 ) / 6500

GCD(500, 325) = 162500 / 6500

GCD(500, 325) = 25

Step2:

Here we consider the GCD from the above i.e. 25 as first number and the next as 225

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

LCM(25, 225) = 225

GCD(25, 225) = ( 25 x 225 ) / 225

GCD(25, 225) = 5625 / 225

GCD(25, 225) = 25

Step3:

Here we consider the GCD from the above i.e. 25 as first number and the next as 610

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

LCM(25, 610) = 3050

GCD(25, 610) = ( 25 x 610 ) / 3050

GCD(25, 610) = 15250 / 3050

GCD(25, 610) = 5

GCD of 500, 325, 225, 610 is 5

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1. What is the GCD of 500, 325, 225, 610?

GCD of 500, 325, 225, 610 is 5

2. Where do I get the detailed procedure to find GCD of 500, 325, 225, 610?

You can find a detailed procedure to find GCD of 500, 325, 225, 610 on our page.

3. How to find GCD of 500, 325, 225, 610 on a calculator?

You can find the GCD of 500, 325, 225, 610 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.