GCD of 258, 923, 820, 888 Calculator

Given Input numbers are 258, 923, 820, 888

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

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 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 888

List of positive integer divisors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Greatest Common Divisior

We found the divisors of 258, 923, 820, 888 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 923, 820, 888 is 1.

Therefore, GCD of numbers 258, 923, 820, 888 is 1

Given Input Data is 258, 923, 820, 888

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

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 923 is 13 x 71

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37

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(258, 923) = 238134

GCD(258, 923) = ( 258 x 923 ) / 238134

GCD(258, 923) = 238134 / 238134

GCD(258, 923) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 820

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

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

GCD(1, 820) = 820 / 820

GCD(1, 820) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 888

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

LCM(1, 888) = 888

GCD(1, 888) = ( 1 x 888 ) / 888

GCD(1, 888) = 888 / 888

GCD(1, 888) = 1

GCD of 258, 923, 820, 888 is 1

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• GCD of 371, 742, 720, 997
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• GCD of 893, 768, 226, 265

1. What is the GCD of 258, 923, 820, 888?

GCD of 258, 923, 820, 888 is 1

2. Where do I get the detailed procedure to find GCD of 258, 923, 820, 888?

You can find a detailed procedure to find GCD of 258, 923, 820, 888 on our page.

3. How to find GCD of 258, 923, 820, 888 on a calculator?

You can find the GCD of 258, 923, 820, 888 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.