GCD of 231, 253, 858, 814 Calculator

Given Input numbers are 231, 253, 858, 814

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

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

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

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Greatest Common Divisior

We found the divisors of 231, 253, 858, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 253, 858, 814 is 11.

Therefore, GCD of numbers 231, 253, 858, 814 is 11

Given Input Data is 231, 253, 858, 814

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

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 253 is 11 x 23

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

Prime Factorization of 814 is 2 x 11 x 37

Highest common occurrences in the given inputs are 11¹

Multiplying them we get the GCD as 11

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(231, 253) = 5313

GCD(231, 253) = ( 231 x 253 ) / 5313

GCD(231, 253) = 58443 / 5313

GCD(231, 253) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 858

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

LCM(11, 858) = 858

GCD(11, 858) = ( 11 x 858 ) / 858

GCD(11, 858) = 9438 / 858

GCD(11, 858) = 11

Step3:

Here we consider the GCD from the above i.e. 11 as first number and the next as 814

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

LCM(11, 814) = 814

GCD(11, 814) = ( 11 x 814 ) / 814

GCD(11, 814) = 8954 / 814

GCD(11, 814) = 11

GCD of 231, 253, 858, 814 is 11

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1. What is the GCD of 231, 253, 858, 814?

GCD of 231, 253, 858, 814 is 11

2. Where do I get the detailed procedure to find GCD of 231, 253, 858, 814?

You can find a detailed procedure to find GCD of 231, 253, 858, 814 on our page.

3. How to find GCD of 231, 253, 858, 814 on a calculator?

You can find the GCD of 231, 253, 858, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.