GCD of 202, 712, 500 Calculator

Given Input numbers are 202, 712, 500

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

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

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

Greatest Common Divisior

We found the divisors of 202, 712, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 202, 712, 500 is 2.

Therefore, GCD of numbers 202, 712, 500 is 2

Given Input Data is 202, 712, 500

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

Prime Factorization of 202 is 2 x 101

Prime Factorization of 712 is 2 x 2 x 2 x 89

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(202, 712) = 71912

GCD(202, 712) = ( 202 x 712 ) / 71912

GCD(202, 712) = 143824 / 71912

GCD(202, 712) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 500

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

LCM(2, 500) = 500

GCD(2, 500) = ( 2 x 500 ) / 500

GCD(2, 500) = 1000 / 500

GCD(2, 500) = 2

GCD of 202, 712, 500 is 2

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1. What is the GCD of 202, 712, 500?

GCD of 202, 712, 500 is 2

2. Where do I get the detailed procedure to find GCD of 202, 712, 500?

You can find a detailed procedure to find GCD of 202, 712, 500 on our page.

3. How to find GCD of 202, 712, 500 on a calculator?

You can find the GCD of 202, 712, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.