GCD of 474, 320, 679 Calculator

Given Input numbers are 474, 320, 679

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

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Greatest Common Divisior

We found the divisors of 474, 320, 679 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 320, 679 is 1.

Therefore, GCD of numbers 474, 320, 679 is 1

Given Input Data is 474, 320, 679

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

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 679 is 7 x 97

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(474, 320) = 75840

GCD(474, 320) = ( 474 x 320 ) / 75840

GCD(474, 320) = 151680 / 75840

GCD(474, 320) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 679

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

LCM(2, 679) = 1358

GCD(2, 679) = ( 2 x 679 ) / 1358

GCD(2, 679) = 1358 / 1358

GCD(2, 679) = 1

GCD of 474, 320, 679 is 1

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1. What is the GCD of 474, 320, 679?

GCD of 474, 320, 679 is 1

2. Where do I get the detailed procedure to find GCD of 474, 320, 679?

You can find a detailed procedure to find GCD of 474, 320, 679 on our page.

3. How to find GCD of 474, 320, 679 on a calculator?

You can find the GCD of 474, 320, 679 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.