GCD of 374, 784, 489 Calculator

Given Input numbers are 374, 784, 489

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

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

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 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Greatest Common Divisior

We found the divisors of 374, 784, 489 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 784, 489 is 1.

Therefore, GCD of numbers 374, 784, 489 is 1

Given Input Data is 374, 784, 489

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

Prime Factorization of 374 is 2 x 11 x 17

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

Prime Factorization of 489 is 3 x 163

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(374, 784) = 146608

GCD(374, 784) = ( 374 x 784 ) / 146608

GCD(374, 784) = 293216 / 146608

GCD(374, 784) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 489

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

LCM(2, 489) = 978

GCD(2, 489) = ( 2 x 489 ) / 978

GCD(2, 489) = 978 / 978

GCD(2, 489) = 1

GCD of 374, 784, 489 is 1

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1. What is the GCD of 374, 784, 489?

GCD of 374, 784, 489 is 1

2. Where do I get the detailed procedure to find GCD of 374, 784, 489?

You can find a detailed procedure to find GCD of 374, 784, 489 on our page.

3. How to find GCD of 374, 784, 489 on a calculator?

You can find the GCD of 374, 784, 489 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.