GCD of 45, 900, 866, 464 Calculator

Given Input numbers are 45, 900, 866, 464

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

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 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Greatest Common Divisior

We found the divisors of 45, 900, 866, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 900, 866, 464 is 1.

Therefore, GCD of numbers 45, 900, 866, 464 is 1

Given Input Data is 45, 900, 866, 464

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 866 is 2 x 433

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

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(45, 900) = 900

GCD(45, 900) = ( 45 x 900 ) / 900

GCD(45, 900) = 40500 / 900

GCD(45, 900) = 45

Step2:

Here we consider the GCD from the above i.e. 45 as first number and the next as 866

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

LCM(45, 866) = 38970

GCD(45, 866) = ( 45 x 866 ) / 38970

GCD(45, 866) = 38970 / 38970

GCD(45, 866) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 464

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

LCM(1, 464) = 464

GCD(1, 464) = ( 1 x 464 ) / 464

GCD(1, 464) = 464 / 464

GCD(1, 464) = 1

GCD of 45, 900, 866, 464 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 41, 543, 934, 481
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• GCD of 46, 817, 980, 256

1. What is the GCD of 45, 900, 866, 464?

GCD of 45, 900, 866, 464 is 1

2. Where do I get the detailed procedure to find GCD of 45, 900, 866, 464?

You can find a detailed procedure to find GCD of 45, 900, 866, 464 on our page.

3. How to find GCD of 45, 900, 866, 464 on a calculator?

You can find the GCD of 45, 900, 866, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.