GCD of 900, 775, 252, 469 Calculator

Given Input numbers are 900, 775, 252, 469

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 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Greatest Common Divisior

We found the divisors of 900, 775, 252, 469 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 775, 252, 469 is 1.

Therefore, GCD of numbers 900, 775, 252, 469 is 1

Given Input Data is 900, 775, 252, 469

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 775 is 5 x 5 x 31

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 469 is 7 x 67

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, 775) = 27900

GCD(900, 775) = ( 900 x 775 ) / 27900

GCD(900, 775) = 697500 / 27900

GCD(900, 775) = 25

Step2:

Here we consider the GCD from the above i.e. 25 as first number and the next as 252

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

LCM(25, 252) = 6300

GCD(25, 252) = ( 25 x 252 ) / 6300

GCD(25, 252) = 6300 / 6300

GCD(25, 252) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 469

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

LCM(1, 469) = 469

GCD(1, 469) = ( 1 x 469 ) / 469

GCD(1, 469) = 469 / 469

GCD(1, 469) = 1

GCD of 900, 775, 252, 469 is 1

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1. What is the GCD of 900, 775, 252, 469?

GCD of 900, 775, 252, 469 is 1

2. Where do I get the detailed procedure to find GCD of 900, 775, 252, 469?

You can find a detailed procedure to find GCD of 900, 775, 252, 469 on our page.

3. How to find GCD of 900, 775, 252, 469 on a calculator?

You can find the GCD of 900, 775, 252, 469 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.