GCD of 424, 322, 60, 688 Calculator

Given Input numbers are 424, 322, 60, 688

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

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Greatest Common Divisior

We found the divisors of 424, 322, 60, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 424, 322, 60, 688 is 2.

Therefore, GCD of numbers 424, 322, 60, 688 is 2

Given Input Data is 424, 322, 60, 688

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

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(424, 322) = 68264

GCD(424, 322) = ( 424 x 322 ) / 68264

GCD(424, 322) = 136528 / 68264

GCD(424, 322) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 60

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

LCM(2, 60) = 60

GCD(2, 60) = ( 2 x 60 ) / 60

GCD(2, 60) = 120 / 60

GCD(2, 60) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 688

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

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

GCD(2, 688) = 1376 / 688

GCD(2, 688) = 2

GCD of 424, 322, 60, 688 is 2

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• GCD of 709, 664, 98, 779
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• GCD of 106, 602, 89, 710

1. What is the GCD of 424, 322, 60, 688?

GCD of 424, 322, 60, 688 is 2

2. Where do I get the detailed procedure to find GCD of 424, 322, 60, 688?

You can find a detailed procedure to find GCD of 424, 322, 60, 688 on our page.

3. How to find GCD of 424, 322, 60, 688 on a calculator?

You can find the GCD of 424, 322, 60, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.