GCD of 900, 501, 235 Calculator

Given Input numbers are 900, 501, 235

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 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Greatest Common Divisior

We found the divisors of 900, 501, 235 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 501, 235 is 1.

Therefore, GCD of numbers 900, 501, 235 is 1

Given Input Data is 900, 501, 235

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 501 is 3 x 167

Prime Factorization of 235 is 5 x 47

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, 501) = 150300

GCD(900, 501) = ( 900 x 501 ) / 150300

GCD(900, 501) = 450900 / 150300

GCD(900, 501) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 235

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

LCM(3, 235) = 705

GCD(3, 235) = ( 3 x 235 ) / 705

GCD(3, 235) = 705 / 705

GCD(3, 235) = 1

GCD of 900, 501, 235 is 1

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1. What is the GCD of 900, 501, 235?

GCD of 900, 501, 235 is 1

2. Where do I get the detailed procedure to find GCD of 900, 501, 235?

You can find a detailed procedure to find GCD of 900, 501, 235 on our page.

3. How to find GCD of 900, 501, 235 on a calculator?

You can find the GCD of 900, 501, 235 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.