GCD of 258, 870, 511, 478 Calculator

Given Input numbers are 258, 870, 511, 478

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 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 511

List of positive integer divisors of 511 that divides 511 without a remainder.

1, 7, 73, 511

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Greatest Common Divisior

We found the divisors of 258, 870, 511, 478 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 870, 511, 478 is 1.

Therefore, GCD of numbers 258, 870, 511, 478 is 1

Given Input Data is 258, 870, 511, 478

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 870 is 2 x 3 x 5 x 29

Prime Factorization of 511 is 7 x 73

Prime Factorization of 478 is 2 x 239

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(258, 870) = 37410

GCD(258, 870) = ( 258 x 870 ) / 37410

GCD(258, 870) = 224460 / 37410

GCD(258, 870) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 511

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

LCM(6, 511) = 3066

GCD(6, 511) = ( 6 x 511 ) / 3066

GCD(6, 511) = 3066 / 3066

GCD(6, 511) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 478

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

LCM(1, 478) = 478

GCD(1, 478) = ( 1 x 478 ) / 478

GCD(1, 478) = 478 / 478

GCD(1, 478) = 1

GCD of 258, 870, 511, 478 is 1

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1. What is the GCD of 258, 870, 511, 478?

GCD of 258, 870, 511, 478 is 1

2. Where do I get the detailed procedure to find GCD of 258, 870, 511, 478?

You can find a detailed procedure to find GCD of 258, 870, 511, 478 on our page.

3. How to find GCD of 258, 870, 511, 478 on a calculator?

You can find the GCD of 258, 870, 511, 478 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.