GCD of 900, 575, 21, 910 Calculator

Given Input numbers are 900, 575, 21, 910

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 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Greatest Common Divisior

We found the divisors of 900, 575, 21, 910 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 575, 21, 910 is 1.

Therefore, GCD of numbers 900, 575, 21, 910 is 1

Given Input Data is 900, 575, 21, 910

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 575 is 5 x 5 x 23

Prime Factorization of 21 is 3 x 7

Prime Factorization of 910 is 2 x 5 x 7 x 13

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, 575) = 20700

GCD(900, 575) = ( 900 x 575 ) / 20700

GCD(900, 575) = 517500 / 20700

GCD(900, 575) = 25

Step2:

Here we consider the GCD from the above i.e. 25 as first number and the next as 21

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

LCM(25, 21) = 525

GCD(25, 21) = ( 25 x 21 ) / 525

GCD(25, 21) = 525 / 525

GCD(25, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 910

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

LCM(1, 910) = 910

GCD(1, 910) = ( 1 x 910 ) / 910

GCD(1, 910) = 910 / 910

GCD(1, 910) = 1

GCD of 900, 575, 21, 910 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 118, 152, 28, 480
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• GCD of 742, 195, 74, 602
• GCD of 303, 965, 82, 735
• GCD of 632, 838, 38, 888

1. What is the GCD of 900, 575, 21, 910?

GCD of 900, 575, 21, 910 is 1

2. Where do I get the detailed procedure to find GCD of 900, 575, 21, 910?

You can find a detailed procedure to find GCD of 900, 575, 21, 910 on our page.

3. How to find GCD of 900, 575, 21, 910 on a calculator?

You can find the GCD of 900, 575, 21, 910 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.