GCD of 258, 646, 750, 460 Calculator

Given Input numbers are 258, 646, 750, 460

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 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Greatest Common Divisior

We found the divisors of 258, 646, 750, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 646, 750, 460 is 2.

Therefore, GCD of numbers 258, 646, 750, 460 is 2

Given Input Data is 258, 646, 750, 460

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 646 is 2 x 17 x 19

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 460 is 2 x 2 x 5 x 23

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, 646) = 83334

GCD(258, 646) = ( 258 x 646 ) / 83334

GCD(258, 646) = 166668 / 83334

GCD(258, 646) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 750

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

LCM(2, 750) = 750

GCD(2, 750) = ( 2 x 750 ) / 750

GCD(2, 750) = 1500 / 750

GCD(2, 750) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 460

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

LCM(2, 460) = 460

GCD(2, 460) = ( 2 x 460 ) / 460

GCD(2, 460) = 920 / 460

GCD(2, 460) = 2

GCD of 258, 646, 750, 460 is 2

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1. What is the GCD of 258, 646, 750, 460?

GCD of 258, 646, 750, 460 is 2

2. Where do I get the detailed procedure to find GCD of 258, 646, 750, 460?

You can find a detailed procedure to find GCD of 258, 646, 750, 460 on our page.

3. How to find GCD of 258, 646, 750, 460 on a calculator?

You can find the GCD of 258, 646, 750, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.