GCD of 712, 495, 784 Calculator

Given Input numbers are 712, 495, 784

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

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

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

Greatest Common Divisior

We found the divisors of 712, 495, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 495, 784 is 1.

Therefore, GCD of numbers 712, 495, 784 is 1

Given Input Data is 712, 495, 784

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

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 495 is 3 x 3 x 5 x 11

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

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(712, 495) = 352440

GCD(712, 495) = ( 712 x 495 ) / 352440

GCD(712, 495) = 352440 / 352440

GCD(712, 495) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 784

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

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

GCD(1, 784) = 784 / 784

GCD(1, 784) = 1

GCD of 712, 495, 784 is 1

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1. What is the GCD of 712, 495, 784?

GCD of 712, 495, 784 is 1

2. Where do I get the detailed procedure to find GCD of 712, 495, 784?

You can find a detailed procedure to find GCD of 712, 495, 784 on our page.

3. How to find GCD of 712, 495, 784 on a calculator?

You can find the GCD of 712, 495, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.