GCD of 264, 804, 538, 919 Calculator

Given Input numbers are 264, 804, 538, 919

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

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Greatest Common Divisior

We found the divisors of 264, 804, 538, 919 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 804, 538, 919 is 1.

Therefore, GCD of numbers 264, 804, 538, 919 is 1

Given Input Data is 264, 804, 538, 919

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

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 804 is 2 x 2 x 3 x 67

Prime Factorization of 538 is 2 x 269

Prime Factorization of 919 is 919

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(264, 804) = 17688

GCD(264, 804) = ( 264 x 804 ) / 17688

GCD(264, 804) = 212256 / 17688

GCD(264, 804) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 538

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

LCM(12, 538) = 3228

GCD(12, 538) = ( 12 x 538 ) / 3228

GCD(12, 538) = 6456 / 3228

GCD(12, 538) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 919

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

LCM(2, 919) = 1838

GCD(2, 919) = ( 2 x 919 ) / 1838

GCD(2, 919) = 1838 / 1838

GCD(2, 919) = 1

GCD of 264, 804, 538, 919 is 1

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1. What is the GCD of 264, 804, 538, 919?

GCD of 264, 804, 538, 919 is 1

2. Where do I get the detailed procedure to find GCD of 264, 804, 538, 919?

You can find a detailed procedure to find GCD of 264, 804, 538, 919 on our page.

3. How to find GCD of 264, 804, 538, 919 on a calculator?

You can find the GCD of 264, 804, 538, 919 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.