GCD of 900, 552, 65, 421 Calculator

Given Input numbers are 900, 552, 65, 421

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 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Greatest Common Divisior

We found the divisors of 900, 552, 65, 421 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 552, 65, 421 is 1.

Therefore, GCD of numbers 900, 552, 65, 421 is 1

Given Input Data is 900, 552, 65, 421

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 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 65 is 5 x 13

Prime Factorization of 421 is 421

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, 552) = 41400

GCD(900, 552) = ( 900 x 552 ) / 41400

GCD(900, 552) = 496800 / 41400

GCD(900, 552) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 65

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

LCM(12, 65) = 780

GCD(12, 65) = ( 12 x 65 ) / 780

GCD(12, 65) = 780 / 780

GCD(12, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 421

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

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

GCD(1, 421) = 421 / 421

GCD(1, 421) = 1

GCD of 900, 552, 65, 421 is 1

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• GCD of 491, 575, 80, 205
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1. What is the GCD of 900, 552, 65, 421?

GCD of 900, 552, 65, 421 is 1

2. Where do I get the detailed procedure to find GCD of 900, 552, 65, 421?

You can find a detailed procedure to find GCD of 900, 552, 65, 421 on our page.

3. How to find GCD of 900, 552, 65, 421 on a calculator?

You can find the GCD of 900, 552, 65, 421 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.