GCD of 500, 925, 665, 248 Calculator

Given Input numbers are 500, 925, 665, 248

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 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Divisors of 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

Divisors of 248

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

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

Greatest Common Divisior

We found the divisors of 500, 925, 665, 248 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 925, 665, 248 is 1.

Therefore, GCD of numbers 500, 925, 665, 248 is 1

Given Input Data is 500, 925, 665, 248

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 925 is 5 x 5 x 37

Prime Factorization of 665 is 5 x 7 x 19

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

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, 925) = 18500

GCD(500, 925) = ( 500 x 925 ) / 18500

GCD(500, 925) = 462500 / 18500

GCD(500, 925) = 25

Step2:

Here we consider the GCD from the above i.e. 25 as first number and the next as 665

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

LCM(25, 665) = 3325

GCD(25, 665) = ( 25 x 665 ) / 3325

GCD(25, 665) = 16625 / 3325

GCD(25, 665) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 248

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

LCM(5, 248) = 1240

GCD(5, 248) = ( 5 x 248 ) / 1240

GCD(5, 248) = 1240 / 1240

GCD(5, 248) = 1

GCD of 500, 925, 665, 248 is 1

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1. What is the GCD of 500, 925, 665, 248?

GCD of 500, 925, 665, 248 is 1

2. Where do I get the detailed procedure to find GCD of 500, 925, 665, 248?

You can find a detailed procedure to find GCD of 500, 925, 665, 248 on our page.

3. How to find GCD of 500, 925, 665, 248 on a calculator?

You can find the GCD of 500, 925, 665, 248 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.