GCD of 258, 221, 945 Calculator

Given Input numbers are 258, 221, 945

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 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Greatest Common Divisior

We found the divisors of 258, 221, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 221, 945 is 1.

Therefore, GCD of numbers 258, 221, 945 is 1

Given Input Data is 258, 221, 945

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 221 is 13 x 17

Prime Factorization of 945 is 3 x 3 x 3 x 5 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(258, 221) = 57018

GCD(258, 221) = ( 258 x 221 ) / 57018

GCD(258, 221) = 57018 / 57018

GCD(258, 221) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 945

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

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

GCD(1, 945) = 945 / 945

GCD(1, 945) = 1

GCD of 258, 221, 945 is 1

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1. What is the GCD of 258, 221, 945?

GCD of 258, 221, 945 is 1

2. Where do I get the detailed procedure to find GCD of 258, 221, 945?

You can find a detailed procedure to find GCD of 258, 221, 945 on our page.

3. How to find GCD of 258, 221, 945 on a calculator?

You can find the GCD of 258, 221, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.