GCD of 724, 247, 18, 218 Calculator

Given Input numbers are 724, 247, 18, 218

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

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 247

List of positive integer divisors of 247 that divides 247 without a remainder.

1, 13, 19, 247

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Greatest Common Divisior

We found the divisors of 724, 247, 18, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 247, 18, 218 is 1.

Therefore, GCD of numbers 724, 247, 18, 218 is 1

Given Input Data is 724, 247, 18, 218

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

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 247 is 13 x 19

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 218 is 2 x 109

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(724, 247) = 178828

GCD(724, 247) = ( 724 x 247 ) / 178828

GCD(724, 247) = 178828 / 178828

GCD(724, 247) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 218

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

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

GCD(1, 218) = 218 / 218

GCD(1, 218) = 1

GCD of 724, 247, 18, 218 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 184, 454, 14, 367
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• GCD of 520, 955, 99, 310
• GCD of 187, 930, 86, 840
• GCD of 270, 564, 81, 401

1. What is the GCD of 724, 247, 18, 218?

GCD of 724, 247, 18, 218 is 1

2. Where do I get the detailed procedure to find GCD of 724, 247, 18, 218?

You can find a detailed procedure to find GCD of 724, 247, 18, 218 on our page.

3. How to find GCD of 724, 247, 18, 218 on a calculator?

You can find the GCD of 724, 247, 18, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.