GCD of 784, 493, 149 Calculator

Given Input numbers are 784, 493, 149

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 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Greatest Common Divisior

We found the divisors of 784, 493, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 493, 149 is 1.

Therefore, GCD of numbers 784, 493, 149 is 1

Given Input Data is 784, 493, 149

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 493 is 17 x 29

Prime Factorization of 149 is 149

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, 493) = 386512

GCD(784, 493) = ( 784 x 493 ) / 386512

GCD(784, 493) = 386512 / 386512

GCD(784, 493) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 149

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

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

GCD(1, 149) = 149 / 149

GCD(1, 149) = 1

GCD of 784, 493, 149 is 1

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1. What is the GCD of 784, 493, 149?

GCD of 784, 493, 149 is 1

2. Where do I get the detailed procedure to find GCD of 784, 493, 149?

You can find a detailed procedure to find GCD of 784, 493, 149 on our page.

3. How to find GCD of 784, 493, 149 on a calculator?

You can find the GCD of 784, 493, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.