GCD of 500, 224, 636, 941 Calculator

Given Input numbers are 500, 224, 636, 941

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 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 941

List of positive integer divisors of 941 that divides 941 without a remainder.

1, 941

Greatest Common Divisior

We found the divisors of 500, 224, 636, 941 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 224, 636, 941 is 1.

Therefore, GCD of numbers 500, 224, 636, 941 is 1

Given Input Data is 500, 224, 636, 941

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 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 636 is 2 x 2 x 3 x 53

Prime Factorization of 941 is 941

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(500, 224) = 28000

GCD(500, 224) = ( 500 x 224 ) / 28000

GCD(500, 224) = 112000 / 28000

GCD(500, 224) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 636

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

LCM(4, 636) = 636

GCD(4, 636) = ( 4 x 636 ) / 636

GCD(4, 636) = 2544 / 636

GCD(4, 636) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 941

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

LCM(4, 941) = 3764

GCD(4, 941) = ( 4 x 941 ) / 3764

GCD(4, 941) = 3764 / 3764

GCD(4, 941) = 1

GCD of 500, 224, 636, 941 is 1

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1. What is the GCD of 500, 224, 636, 941?

GCD of 500, 224, 636, 941 is 1

2. Where do I get the detailed procedure to find GCD of 500, 224, 636, 941?

You can find a detailed procedure to find GCD of 500, 224, 636, 941 on our page.

3. How to find GCD of 500, 224, 636, 941 on a calculator?

You can find the GCD of 500, 224, 636, 941 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.