GCD of 493, 900, 525 Calculator

Given Input numbers are 493, 900, 525

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

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

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 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Greatest Common Divisior

We found the divisors of 493, 900, 525 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 493, 900, 525 is 1.

Therefore, GCD of numbers 493, 900, 525 is 1

Given Input Data is 493, 900, 525

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

Prime Factorization of 493 is 17 x 29

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

Prime Factorization of 525 is 3 x 5 x 5 x 7

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(493, 900) = 443700

GCD(493, 900) = ( 493 x 900 ) / 443700

GCD(493, 900) = 443700 / 443700

GCD(493, 900) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 525

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

LCM(1, 525) = 525

GCD(1, 525) = ( 1 x 525 ) / 525

GCD(1, 525) = 525 / 525

GCD(1, 525) = 1

GCD of 493, 900, 525 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 161, 585, 915
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• GCD of 642, 862, 572
• GCD of 180, 606, 874

1. What is the GCD of 493, 900, 525?

GCD of 493, 900, 525 is 1

2. Where do I get the detailed procedure to find GCD of 493, 900, 525?

You can find a detailed procedure to find GCD of 493, 900, 525 on our page.

3. How to find GCD of 493, 900, 525 on a calculator?

You can find the GCD of 493, 900, 525 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.