GCD of 676, 224, 323, 626 Calculator

Given Input numbers are 676, 224, 323, 626

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

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Divisors of 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Greatest Common Divisior

We found the divisors of 676, 224, 323, 626 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 224, 323, 626 is 1.

Therefore, GCD of numbers 676, 224, 323, 626 is 1

Given Input Data is 676, 224, 323, 626

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

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 323 is 17 x 19

Prime Factorization of 626 is 2 x 313

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(676, 224) = 37856

GCD(676, 224) = ( 676 x 224 ) / 37856

GCD(676, 224) = 151424 / 37856

GCD(676, 224) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 323

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

LCM(4, 323) = 1292

GCD(4, 323) = ( 4 x 323 ) / 1292

GCD(4, 323) = 1292 / 1292

GCD(4, 323) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 626

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

LCM(1, 626) = 626

GCD(1, 626) = ( 1 x 626 ) / 626

GCD(1, 626) = 626 / 626

GCD(1, 626) = 1

GCD of 676, 224, 323, 626 is 1

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1. What is the GCD of 676, 224, 323, 626?

GCD of 676, 224, 323, 626 is 1

2. Where do I get the detailed procedure to find GCD of 676, 224, 323, 626?

You can find a detailed procedure to find GCD of 676, 224, 323, 626 on our page.

3. How to find GCD of 676, 224, 323, 626 on a calculator?

You can find the GCD of 676, 224, 323, 626 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.