GCD of 224, 258, 877, 598 Calculator

Given Input numbers are 224, 258, 877, 598

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

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 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 877

List of positive integer divisors of 877 that divides 877 without a remainder.

1, 877

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Greatest Common Divisior

We found the divisors of 224, 258, 877, 598 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 258, 877, 598 is 1.

Therefore, GCD of numbers 224, 258, 877, 598 is 1

Given Input Data is 224, 258, 877, 598

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

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

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 877 is 877

Prime Factorization of 598 is 2 x 13 x 23

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(224, 258) = 28896

GCD(224, 258) = ( 224 x 258 ) / 28896

GCD(224, 258) = 57792 / 28896

GCD(224, 258) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 877

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

LCM(2, 877) = 1754

GCD(2, 877) = ( 2 x 877 ) / 1754

GCD(2, 877) = 1754 / 1754

GCD(2, 877) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 598

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

LCM(1, 598) = 598

GCD(1, 598) = ( 1 x 598 ) / 598

GCD(1, 598) = 598 / 598

GCD(1, 598) = 1

GCD of 224, 258, 877, 598 is 1

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• GCD of 131, 136, 781, 679
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1. What is the GCD of 224, 258, 877, 598?

GCD of 224, 258, 877, 598 is 1

2. Where do I get the detailed procedure to find GCD of 224, 258, 877, 598?

You can find a detailed procedure to find GCD of 224, 258, 877, 598 on our page.

3. How to find GCD of 224, 258, 877, 598 on a calculator?

You can find the GCD of 224, 258, 877, 598 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.