GCD of 723, 900, 276 Calculator

Given Input numbers are 723, 900, 276

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

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

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 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Greatest Common Divisior

We found the divisors of 723, 900, 276 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 723, 900, 276 is 3.

Therefore, GCD of numbers 723, 900, 276 is 3

Given Input Data is 723, 900, 276

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

Prime Factorization of 723 is 3 x 241

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

Prime Factorization of 276 is 2 x 2 x 3 x 23

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(723, 900) = 216900

GCD(723, 900) = ( 723 x 900 ) / 216900

GCD(723, 900) = 650700 / 216900

GCD(723, 900) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 276

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

LCM(3, 276) = 276

GCD(3, 276) = ( 3 x 276 ) / 276

GCD(3, 276) = 828 / 276

GCD(3, 276) = 3

GCD of 723, 900, 276 is 3

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• GCD of 178, 385, 527
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1. What is the GCD of 723, 900, 276?

GCD of 723, 900, 276 is 3

2. Where do I get the detailed procedure to find GCD of 723, 900, 276?

You can find a detailed procedure to find GCD of 723, 900, 276 on our page.

3. How to find GCD of 723, 900, 276 on a calculator?

You can find the GCD of 723, 900, 276 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.