GCD of 125, 258, 166, 269 Calculator

Given Input numbers are 125, 258, 166, 269

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

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

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 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

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 125, 258, 166, 269 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 125, 258, 166, 269 is 1.

Therefore, GCD of numbers 125, 258, 166, 269 is 1

Given Input Data is 125, 258, 166, 269

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

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 166 is 2 x 83

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(125, 258) = 32250

GCD(125, 258) = ( 125 x 258 ) / 32250

GCD(125, 258) = 32250 / 32250

GCD(125, 258) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 166

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

LCM(1, 166) = 166

GCD(1, 166) = ( 1 x 166 ) / 166

GCD(1, 166) = 166 / 166

GCD(1, 166) = 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 125, 258, 166, 269 is 1

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1. What is the GCD of 125, 258, 166, 269?

GCD of 125, 258, 166, 269 is 1

2. Where do I get the detailed procedure to find GCD of 125, 258, 166, 269?

You can find a detailed procedure to find GCD of 125, 258, 166, 269 on our page.

3. How to find GCD of 125, 258, 166, 269 on a calculator?

You can find the GCD of 125, 258, 166, 269 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.