GCD of 258, 360, 883, 269 Calculator

Given Input numbers are 258, 360, 883, 269

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 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 883

List of positive integer divisors of 883 that divides 883 without a remainder.

1, 883

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Greatest Common Divisior

We found the divisors of 258, 360, 883, 269 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 360, 883, 269 is 1.

Therefore, GCD of numbers 258, 360, 883, 269 is 1

Given Input Data is 258, 360, 883, 269

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 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 883 is 883

Prime Factorization of 269 is 269

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, 360) = 15480

GCD(258, 360) = ( 258 x 360 ) / 15480

GCD(258, 360) = 92880 / 15480

GCD(258, 360) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 883

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

LCM(6, 883) = 5298

GCD(6, 883) = ( 6 x 883 ) / 5298

GCD(6, 883) = 5298 / 5298

GCD(6, 883) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 269

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

LCM(1, 269) = 269

GCD(1, 269) = ( 1 x 269 ) / 269

GCD(1, 269) = 269 / 269

GCD(1, 269) = 1

GCD of 258, 360, 883, 269 is 1

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• GCD of 348, 533, 390, 371
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1. What is the GCD of 258, 360, 883, 269?

GCD of 258, 360, 883, 269 is 1

2. Where do I get the detailed procedure to find GCD of 258, 360, 883, 269?

You can find a detailed procedure to find GCD of 258, 360, 883, 269 on our page.

3. How to find GCD of 258, 360, 883, 269 on a calculator?

You can find the GCD of 258, 360, 883, 269 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.