GCD of 264, 473, 782 Calculator

Given Input numbers are 264, 473, 782

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 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Greatest Common Divisior

We found the divisors of 264, 473, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 473, 782 is 1.

Therefore, GCD of numbers 264, 473, 782 is 1

Given Input Data is 264, 473, 782

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 473 is 11 x 43

Prime Factorization of 782 is 2 x 17 x 23

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, 473) = 11352

GCD(264, 473) = ( 264 x 473 ) / 11352

GCD(264, 473) = 124872 / 11352

GCD(264, 473) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 782

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

LCM(11, 782) = 8602

GCD(11, 782) = ( 11 x 782 ) / 8602

GCD(11, 782) = 8602 / 8602

GCD(11, 782) = 1

GCD of 264, 473, 782 is 1

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1. What is the GCD of 264, 473, 782?

GCD of 264, 473, 782 is 1

2. Where do I get the detailed procedure to find GCD of 264, 473, 782?

You can find a detailed procedure to find GCD of 264, 473, 782 on our page.

3. How to find GCD of 264, 473, 782 on a calculator?

You can find the GCD of 264, 473, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.