GCD of 500, 708, 848, 204 Calculator

Given Input numbers are 500, 708, 848, 204

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 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Greatest Common Divisior

We found the divisors of 500, 708, 848, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 708, 848, 204 is 4.

Therefore, GCD of numbers 500, 708, 848, 204 is 4

Given Input Data is 500, 708, 848, 204

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 708 is 2 x 2 x 3 x 59

Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53

Prime Factorization of 204 is 2 x 2 x 3 x 17

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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, 708) = 88500

GCD(500, 708) = ( 500 x 708 ) / 88500

GCD(500, 708) = 354000 / 88500

GCD(500, 708) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 848

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

LCM(4, 848) = 848

GCD(4, 848) = ( 4 x 848 ) / 848

GCD(4, 848) = 3392 / 848

GCD(4, 848) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 204

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

LCM(4, 204) = 204

GCD(4, 204) = ( 4 x 204 ) / 204

GCD(4, 204) = 816 / 204

GCD(4, 204) = 4

GCD of 500, 708, 848, 204 is 4

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1. What is the GCD of 500, 708, 848, 204?

GCD of 500, 708, 848, 204 is 4

2. Where do I get the detailed procedure to find GCD of 500, 708, 848, 204?

You can find a detailed procedure to find GCD of 500, 708, 848, 204 on our page.

3. How to find GCD of 500, 708, 848, 204 on a calculator?

You can find the GCD of 500, 708, 848, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.