GCD of 784, 727, 456 Calculator

Given Input numbers are 784, 727, 456

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

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Greatest Common Divisior

We found the divisors of 784, 727, 456 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 727, 456 is 1.

Therefore, GCD of numbers 784, 727, 456 is 1

Given Input Data is 784, 727, 456

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

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 727 is 727

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

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(784, 727) = 569968

GCD(784, 727) = ( 784 x 727 ) / 569968

GCD(784, 727) = 569968 / 569968

GCD(784, 727) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 456

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

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

GCD(1, 456) = 456 / 456

GCD(1, 456) = 1

GCD of 784, 727, 456 is 1

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• GCD of 966, 944, 210
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1. What is the GCD of 784, 727, 456?

GCD of 784, 727, 456 is 1

2. Where do I get the detailed procedure to find GCD of 784, 727, 456?

You can find a detailed procedure to find GCD of 784, 727, 456 on our page.

3. How to find GCD of 784, 727, 456 on a calculator?

You can find the GCD of 784, 727, 456 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.