GCD of 26, 898, 659, 224 Calculator

Given Input numbers are 26, 898, 659, 224

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

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

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

Greatest Common Divisior

We found the divisors of 26, 898, 659, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 898, 659, 224 is 1.

Therefore, GCD of numbers 26, 898, 659, 224 is 1

Given Input Data is 26, 898, 659, 224

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

Prime Factorization of 26 is 2 x 13

Prime Factorization of 898 is 2 x 449

Prime Factorization of 659 is 659

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

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(26, 898) = 11674

GCD(26, 898) = ( 26 x 898 ) / 11674

GCD(26, 898) = 23348 / 11674

GCD(26, 898) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 659

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

LCM(2, 659) = 1318

GCD(2, 659) = ( 2 x 659 ) / 1318

GCD(2, 659) = 1318 / 1318

GCD(2, 659) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 224

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

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

GCD(1, 224) = 224 / 224

GCD(1, 224) = 1

GCD of 26, 898, 659, 224 is 1

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• GCD of 70, 222, 494, 391
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• GCD of 52, 862, 434, 270

1. What is the GCD of 26, 898, 659, 224?

GCD of 26, 898, 659, 224 is 1

2. Where do I get the detailed procedure to find GCD of 26, 898, 659, 224?

You can find a detailed procedure to find GCD of 26, 898, 659, 224 on our page.

3. How to find GCD of 26, 898, 659, 224 on a calculator?

You can find the GCD of 26, 898, 659, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.