GCD of 276, 519, 900, 334 Calculator

Given Input numbers are 276, 519, 900, 334

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

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

Divisors of 519

List of positive integer divisors of 519 that divides 519 without a remainder.

1, 3, 173, 519

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 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Greatest Common Divisior

We found the divisors of 276, 519, 900, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 276, 519, 900, 334 is 1.

Therefore, GCD of numbers 276, 519, 900, 334 is 1

Given Input Data is 276, 519, 900, 334

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

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

Prime Factorization of 519 is 3 x 173

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

Prime Factorization of 334 is 2 x 167

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(276, 519) = 47748

GCD(276, 519) = ( 276 x 519 ) / 47748

GCD(276, 519) = 143244 / 47748

GCD(276, 519) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 900

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

LCM(3, 900) = 900

GCD(3, 900) = ( 3 x 900 ) / 900

GCD(3, 900) = 2700 / 900

GCD(3, 900) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 334

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

LCM(3, 334) = 1002

GCD(3, 334) = ( 3 x 334 ) / 1002

GCD(3, 334) = 1002 / 1002

GCD(3, 334) = 1

GCD of 276, 519, 900, 334 is 1

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• GCD of 272, 995, 113, 972
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1. What is the GCD of 276, 519, 900, 334?

GCD of 276, 519, 900, 334 is 1

2. Where do I get the detailed procedure to find GCD of 276, 519, 900, 334?

You can find a detailed procedure to find GCD of 276, 519, 900, 334 on our page.

3. How to find GCD of 276, 519, 900, 334 on a calculator?

You can find the GCD of 276, 519, 900, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.