GCD of 258, 752, 302 Calculator

Given Input numbers are 258, 752, 302

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 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Greatest Common Divisior

We found the divisors of 258, 752, 302 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 752, 302 is 2.

Therefore, GCD of numbers 258, 752, 302 is 2

Given Input Data is 258, 752, 302

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 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 302 is 2 x 151

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 752) = 97008

GCD(258, 752) = ( 258 x 752 ) / 97008

GCD(258, 752) = 194016 / 97008

GCD(258, 752) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 302

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

LCM(2, 302) = 302

GCD(2, 302) = ( 2 x 302 ) / 302

GCD(2, 302) = 604 / 302

GCD(2, 302) = 2

GCD of 258, 752, 302 is 2

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• GCD of 550, 548, 317
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• GCD of 754, 213, 376
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1. What is the GCD of 258, 752, 302?

GCD of 258, 752, 302 is 2

2. Where do I get the detailed procedure to find GCD of 258, 752, 302?

You can find a detailed procedure to find GCD of 258, 752, 302 on our page.

3. How to find GCD of 258, 752, 302 on a calculator?

You can find the GCD of 258, 752, 302 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.