GCD of 900, 969, 44, 215 Calculator

Given Input numbers are 900, 969, 44, 215

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 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Greatest Common Divisior

We found the divisors of 900, 969, 44, 215 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 969, 44, 215 is 1.

Therefore, GCD of numbers 900, 969, 44, 215 is 1

Given Input Data is 900, 969, 44, 215

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 969 is 3 x 17 x 19

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 215 is 5 x 43

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, 969) = 290700

GCD(900, 969) = ( 900 x 969 ) / 290700

GCD(900, 969) = 872100 / 290700

GCD(900, 969) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 44

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

LCM(3, 44) = 132

GCD(3, 44) = ( 3 x 44 ) / 132

GCD(3, 44) = 132 / 132

GCD(3, 44) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 215

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

LCM(1, 215) = 215

GCD(1, 215) = ( 1 x 215 ) / 215

GCD(1, 215) = 215 / 215

GCD(1, 215) = 1

GCD of 900, 969, 44, 215 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 307, 413, 85, 223
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• GCD of 844, 464, 75, 891
• GCD of 764, 239, 24, 877

1. What is the GCD of 900, 969, 44, 215?

GCD of 900, 969, 44, 215 is 1

2. Where do I get the detailed procedure to find GCD of 900, 969, 44, 215?

You can find a detailed procedure to find GCD of 900, 969, 44, 215 on our page.

3. How to find GCD of 900, 969, 44, 215 on a calculator?

You can find the GCD of 900, 969, 44, 215 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.