GCD of 505, 529, 418, 858 Calculator

Given Input numbers are 505, 529, 418, 858

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

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Greatest Common Divisior

We found the divisors of 505, 529, 418, 858 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 529, 418, 858 is 1.

Therefore, GCD of numbers 505, 529, 418, 858 is 1

Given Input Data is 505, 529, 418, 858

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

Prime Factorization of 505 is 5 x 101

Prime Factorization of 529 is 23 x 23

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 858 is 2 x 3 x 11 x 13

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(505, 529) = 267145

GCD(505, 529) = ( 505 x 529 ) / 267145

GCD(505, 529) = 267145 / 267145

GCD(505, 529) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 418

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

LCM(1, 418) = 418

GCD(1, 418) = ( 1 x 418 ) / 418

GCD(1, 418) = 418 / 418

GCD(1, 418) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 858

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

LCM(1, 858) = 858

GCD(1, 858) = ( 1 x 858 ) / 858

GCD(1, 858) = 858 / 858

GCD(1, 858) = 1

GCD of 505, 529, 418, 858 is 1

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1. What is the GCD of 505, 529, 418, 858?

GCD of 505, 529, 418, 858 is 1

2. Where do I get the detailed procedure to find GCD of 505, 529, 418, 858?

You can find a detailed procedure to find GCD of 505, 529, 418, 858 on our page.

3. How to find GCD of 505, 529, 418, 858 on a calculator?

You can find the GCD of 505, 529, 418, 858 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.