GCD of 900, 895, 925, 249 Calculator

Given Input numbers are 900, 895, 925, 249

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

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 895

List of positive integer divisors of 895 that divides 895 without a remainder.

1, 5, 179, 895

Divisors of 925

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

1, 5, 25, 37, 185, 925

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Greatest Common Divisior

We found the divisors of 900, 895, 925, 249 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 895, 925, 249 is 1.

Therefore, GCD of numbers 900, 895, 925, 249 is 1

Given Input Data is 900, 895, 925, 249

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

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 895 is 5 x 179

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 249 is 3 x 83

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(900, 895) = 161100

GCD(900, 895) = ( 900 x 895 ) / 161100

GCD(900, 895) = 805500 / 161100

GCD(900, 895) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 925

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

LCM(5, 925) = 925

GCD(5, 925) = ( 5 x 925 ) / 925

GCD(5, 925) = 4625 / 925

GCD(5, 925) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 249

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

LCM(5, 249) = 1245

GCD(5, 249) = ( 5 x 249 ) / 1245

GCD(5, 249) = 1245 / 1245

GCD(5, 249) = 1

GCD of 900, 895, 925, 249 is 1

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1. What is the GCD of 900, 895, 925, 249?

GCD of 900, 895, 925, 249 is 1

2. Where do I get the detailed procedure to find GCD of 900, 895, 925, 249?

You can find a detailed procedure to find GCD of 900, 895, 925, 249 on our page.

3. How to find GCD of 900, 895, 925, 249 on a calculator?

You can find the GCD of 900, 895, 925, 249 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.