GCD of 298, 554, 58, 697 Calculator

Given Input numbers are 298, 554, 58, 697

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

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Greatest Common Divisior

We found the divisors of 298, 554, 58, 697 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 554, 58, 697 is 1.

Therefore, GCD of numbers 298, 554, 58, 697 is 1

Given Input Data is 298, 554, 58, 697

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 554 is 2 x 277

Prime Factorization of 58 is 2 x 29

Prime Factorization of 697 is 17 x 41

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(298, 554) = 82546

GCD(298, 554) = ( 298 x 554 ) / 82546

GCD(298, 554) = 165092 / 82546

GCD(298, 554) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 58

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

LCM(2, 58) = 58

GCD(2, 58) = ( 2 x 58 ) / 58

GCD(2, 58) = 116 / 58

GCD(2, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 697

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

LCM(2, 697) = 1394

GCD(2, 697) = ( 2 x 697 ) / 1394

GCD(2, 697) = 1394 / 1394

GCD(2, 697) = 1

GCD of 298, 554, 58, 697 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 179, 872, 33, 820
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• GCD of 512, 447, 32, 116
• GCD of 106, 533, 62, 945
• GCD of 240, 691, 97, 404

1. What is the GCD of 298, 554, 58, 697?

GCD of 298, 554, 58, 697 is 1

2. Where do I get the detailed procedure to find GCD of 298, 554, 58, 697?

You can find a detailed procedure to find GCD of 298, 554, 58, 697 on our page.

3. How to find GCD of 298, 554, 58, 697 on a calculator?

You can find the GCD of 298, 554, 58, 697 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.