GCD of 824, 175, 500, 212 Calculator

Given Input numbers are 824, 175, 500, 212

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

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

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 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Greatest Common Divisior

We found the divisors of 824, 175, 500, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 175, 500, 212 is 1.

Therefore, GCD of numbers 824, 175, 500, 212 is 1

Given Input Data is 824, 175, 500, 212

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

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 175 is 5 x 5 x 7

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

Prime Factorization of 212 is 2 x 2 x 53

The above numbers do not have any common prime factor. So GCD is 1

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(824, 175) = 144200

GCD(824, 175) = ( 824 x 175 ) / 144200

GCD(824, 175) = 144200 / 144200

GCD(824, 175) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 500

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

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

GCD(1, 500) = 500 / 500

GCD(1, 500) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 212

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

LCM(1, 212) = 212

GCD(1, 212) = ( 1 x 212 ) / 212

GCD(1, 212) = 212 / 212

GCD(1, 212) = 1

GCD of 824, 175, 500, 212 is 1

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1. What is the GCD of 824, 175, 500, 212?

GCD of 824, 175, 500, 212 is 1

2. Where do I get the detailed procedure to find GCD of 824, 175, 500, 212?

You can find a detailed procedure to find GCD of 824, 175, 500, 212 on our page.

3. How to find GCD of 824, 175, 500, 212 on a calculator?

You can find the GCD of 824, 175, 500, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.