GCD of 467, 258, 754 Calculator

Given Input numbers are 467, 258, 754

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

Divisors of 467

List of positive integer divisors of 467 that divides 467 without a remainder.

1, 467

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 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Greatest Common Divisior

We found the divisors of 467, 258, 754 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 467, 258, 754 is 1.

Therefore, GCD of numbers 467, 258, 754 is 1

Given Input Data is 467, 258, 754

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

Prime Factorization of 467 is 467

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 754 is 2 x 13 x 29

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(467, 258) = 120486

GCD(467, 258) = ( 467 x 258 ) / 120486

GCD(467, 258) = 120486 / 120486

GCD(467, 258) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 754

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

LCM(1, 754) = 754

GCD(1, 754) = ( 1 x 754 ) / 754

GCD(1, 754) = 754 / 754

GCD(1, 754) = 1

GCD of 467, 258, 754 is 1

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1. What is the GCD of 467, 258, 754?

GCD of 467, 258, 754 is 1

2. Where do I get the detailed procedure to find GCD of 467, 258, 754?

You can find a detailed procedure to find GCD of 467, 258, 754 on our page.

3. How to find GCD of 467, 258, 754 on a calculator?

You can find the GCD of 467, 258, 754 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.