GCD of 248, 554, 500, 723 Calculator

Given Input numbers are 248, 554, 500, 723

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

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

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 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Greatest Common Divisior

We found the divisors of 248, 554, 500, 723 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 248, 554, 500, 723 is 1.

Therefore, GCD of numbers 248, 554, 500, 723 is 1

Given Input Data is 248, 554, 500, 723

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

Prime Factorization of 248 is 2 x 2 x 2 x 31

Prime Factorization of 554 is 2 x 277

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

Prime Factorization of 723 is 3 x 241

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(248, 554) = 68696

GCD(248, 554) = ( 248 x 554 ) / 68696

GCD(248, 554) = 137392 / 68696

GCD(248, 554) = 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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 723

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

LCM(2, 723) = 1446

GCD(2, 723) = ( 2 x 723 ) / 1446

GCD(2, 723) = 1446 / 1446

GCD(2, 723) = 1

GCD of 248, 554, 500, 723 is 1

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1. What is the GCD of 248, 554, 500, 723?

GCD of 248, 554, 500, 723 is 1

2. Where do I get the detailed procedure to find GCD of 248, 554, 500, 723?

You can find a detailed procedure to find GCD of 248, 554, 500, 723 on our page.

3. How to find GCD of 248, 554, 500, 723 on a calculator?

You can find the GCD of 248, 554, 500, 723 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.