GCD of 223, 681, 49, 676 Calculator

Given Input numbers are 223, 681, 49, 676

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

Divisors of 223

List of positive integer divisors of 223 that divides 223 without a remainder.

1, 223

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

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

Greatest Common Divisior

We found the divisors of 223, 681, 49, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 223, 681, 49, 676 is 1.

Therefore, GCD of numbers 223, 681, 49, 676 is 1

Given Input Data is 223, 681, 49, 676

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

Prime Factorization of 223 is 223

Prime Factorization of 681 is 3 x 227

Prime Factorization of 49 is 7 x 7

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

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(223, 681) = 151863

GCD(223, 681) = ( 223 x 681 ) / 151863

GCD(223, 681) = 151863 / 151863

GCD(223, 681) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 676

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

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

GCD(1, 676) = 676 / 676

GCD(1, 676) = 1

GCD of 223, 681, 49, 676 is 1

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1. What is the GCD of 223, 681, 49, 676?

GCD of 223, 681, 49, 676 is 1

2. Where do I get the detailed procedure to find GCD of 223, 681, 49, 676?

You can find a detailed procedure to find GCD of 223, 681, 49, 676 on our page.

3. How to find GCD of 223, 681, 49, 676 on a calculator?

You can find the GCD of 223, 681, 49, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.