GCD of 682, 674, 322, 244 Calculator

Given Input numbers are 682, 674, 322, 244

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

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

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 244

List of positive integer divisors of 244 that divides 244 without a remainder.

1, 2, 4, 61, 122, 244

Greatest Common Divisior

We found the divisors of 682, 674, 322, 244 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 674, 322, 244 is 2.

Therefore, GCD of numbers 682, 674, 322, 244 is 2

Given Input Data is 682, 674, 322, 244

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

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 674 is 2 x 337

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 244 is 2 x 2 x 61

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(682, 674) = 229834

GCD(682, 674) = ( 682 x 674 ) / 229834

GCD(682, 674) = 459668 / 229834

GCD(682, 674) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 322

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

LCM(2, 322) = 322

GCD(2, 322) = ( 2 x 322 ) / 322

GCD(2, 322) = 644 / 322

GCD(2, 322) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 244

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

LCM(2, 244) = 244

GCD(2, 244) = ( 2 x 244 ) / 244

GCD(2, 244) = 488 / 244

GCD(2, 244) = 2

GCD of 682, 674, 322, 244 is 2

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1. What is the GCD of 682, 674, 322, 244?

GCD of 682, 674, 322, 244 is 2

2. Where do I get the detailed procedure to find GCD of 682, 674, 322, 244?

You can find a detailed procedure to find GCD of 682, 674, 322, 244 on our page.

3. How to find GCD of 682, 674, 322, 244 on a calculator?

You can find the GCD of 682, 674, 322, 244 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.