GCD of 258, 748, 794, 618 Calculator

Given Input numbers are 258, 748, 794, 618

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 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Greatest Common Divisior

We found the divisors of 258, 748, 794, 618 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 748, 794, 618 is 2.

Therefore, GCD of numbers 258, 748, 794, 618 is 2

Given Input Data is 258, 748, 794, 618

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 748 is 2 x 2 x 11 x 17

Prime Factorization of 794 is 2 x 397

Prime Factorization of 618 is 2 x 3 x 103

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, 748) = 96492

GCD(258, 748) = ( 258 x 748 ) / 96492

GCD(258, 748) = 192984 / 96492

GCD(258, 748) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 794

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

LCM(2, 794) = 794

GCD(2, 794) = ( 2 x 794 ) / 794

GCD(2, 794) = 1588 / 794

GCD(2, 794) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 618

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

LCM(2, 618) = 618

GCD(2, 618) = ( 2 x 618 ) / 618

GCD(2, 618) = 1236 / 618

GCD(2, 618) = 2

GCD of 258, 748, 794, 618 is 2

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1. What is the GCD of 258, 748, 794, 618?

GCD of 258, 748, 794, 618 is 2

2. Where do I get the detailed procedure to find GCD of 258, 748, 794, 618?

You can find a detailed procedure to find GCD of 258, 748, 794, 618 on our page.

3. How to find GCD of 258, 748, 794, 618 on a calculator?

You can find the GCD of 258, 748, 794, 618 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.