GCD of 900, 404, 715 Calculator

Given Input numbers are 900, 404, 715

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 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Greatest Common Divisior

We found the divisors of 900, 404, 715 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 404, 715 is 1.

Therefore, GCD of numbers 900, 404, 715 is 1

Given Input Data is 900, 404, 715

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 404 is 2 x 2 x 101

Prime Factorization of 715 is 5 x 11 x 13

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, 404) = 90900

GCD(900, 404) = ( 900 x 404 ) / 90900

GCD(900, 404) = 363600 / 90900

GCD(900, 404) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 715

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

LCM(4, 715) = 2860

GCD(4, 715) = ( 4 x 715 ) / 2860

GCD(4, 715) = 2860 / 2860

GCD(4, 715) = 1

GCD of 900, 404, 715 is 1

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1. What is the GCD of 900, 404, 715?

GCD of 900, 404, 715 is 1

2. Where do I get the detailed procedure to find GCD of 900, 404, 715?

You can find a detailed procedure to find GCD of 900, 404, 715 on our page.

3. How to find GCD of 900, 404, 715 on a calculator?

You can find the GCD of 900, 404, 715 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.