GCD of 900, 634, 693 Calculator

Given Input numbers are 900, 634, 693

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 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Greatest Common Divisior

We found the divisors of 900, 634, 693 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 634, 693 is 1.

Therefore, GCD of numbers 900, 634, 693 is 1

Given Input Data is 900, 634, 693

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 634 is 2 x 317

Prime Factorization of 693 is 3 x 3 x 7 x 11

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, 634) = 285300

GCD(900, 634) = ( 900 x 634 ) / 285300

GCD(900, 634) = 570600 / 285300

GCD(900, 634) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 693

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

LCM(2, 693) = 1386

GCD(2, 693) = ( 2 x 693 ) / 1386

GCD(2, 693) = 1386 / 1386

GCD(2, 693) = 1

GCD of 900, 634, 693 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 329, 251, 312
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1. What is the GCD of 900, 634, 693?

GCD of 900, 634, 693 is 1

2. Where do I get the detailed procedure to find GCD of 900, 634, 693?

You can find a detailed procedure to find GCD of 900, 634, 693 on our page.

3. How to find GCD of 900, 634, 693 on a calculator?

You can find the GCD of 900, 634, 693 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.