GCD of 900, 734, 566, 773 Calculator

Given Input numbers are 900, 734, 566, 773

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 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Divisors of 773

List of positive integer divisors of 773 that divides 773 without a remainder.

1, 773

Greatest Common Divisior

We found the divisors of 900, 734, 566, 773 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 734, 566, 773 is 1.

Therefore, GCD of numbers 900, 734, 566, 773 is 1

Given Input Data is 900, 734, 566, 773

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 734 is 2 x 367

Prime Factorization of 566 is 2 x 283

Prime Factorization of 773 is 773

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, 734) = 330300

GCD(900, 734) = ( 900 x 734 ) / 330300

GCD(900, 734) = 660600 / 330300

GCD(900, 734) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 566

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

LCM(2, 566) = 566

GCD(2, 566) = ( 2 x 566 ) / 566

GCD(2, 566) = 1132 / 566

GCD(2, 566) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 773

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

LCM(2, 773) = 1546

GCD(2, 773) = ( 2 x 773 ) / 1546

GCD(2, 773) = 1546 / 1546

GCD(2, 773) = 1

GCD of 900, 734, 566, 773 is 1

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1. What is the GCD of 900, 734, 566, 773?

GCD of 900, 734, 566, 773 is 1

2. Where do I get the detailed procedure to find GCD of 900, 734, 566, 773?

You can find a detailed procedure to find GCD of 900, 734, 566, 773 on our page.

3. How to find GCD of 900, 734, 566, 773 on a calculator?

You can find the GCD of 900, 734, 566, 773 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.