GCD of 264, 772, 409 Calculator

Given Input numbers are 264, 772, 409

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 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Greatest Common Divisior

We found the divisors of 264, 772, 409 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 772, 409 is 1.

Therefore, GCD of numbers 264, 772, 409 is 1

Given Input Data is 264, 772, 409

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 772 is 2 x 2 x 193

Prime Factorization of 409 is 409

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, 772) = 50952

GCD(264, 772) = ( 264 x 772 ) / 50952

GCD(264, 772) = 203808 / 50952

GCD(264, 772) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 409

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

LCM(4, 409) = 1636

GCD(4, 409) = ( 4 x 409 ) / 1636

GCD(4, 409) = 1636 / 1636

GCD(4, 409) = 1

GCD of 264, 772, 409 is 1

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• GCD of 264, 637, 241
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1. What is the GCD of 264, 772, 409?

GCD of 264, 772, 409 is 1

2. Where do I get the detailed procedure to find GCD of 264, 772, 409?

You can find a detailed procedure to find GCD of 264, 772, 409 on our page.

3. How to find GCD of 264, 772, 409 on a calculator?

You can find the GCD of 264, 772, 409 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.