GCD of 858, 861, 462, 903 Calculator

Given Input numbers are 858, 861, 462, 903

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

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 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 903

List of positive integer divisors of 903 that divides 903 without a remainder.

1, 3, 7, 21, 43, 129, 301, 903

Greatest Common Divisior

We found the divisors of 858, 861, 462, 903 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 858, 861, 462, 903 is 3.

Therefore, GCD of numbers 858, 861, 462, 903 is 3

Given Input Data is 858, 861, 462, 903

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

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

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 903 is 3 x 7 x 43

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(858, 861) = 246246

GCD(858, 861) = ( 858 x 861 ) / 246246

GCD(858, 861) = 738738 / 246246

GCD(858, 861) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 462

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

LCM(3, 462) = 462

GCD(3, 462) = ( 3 x 462 ) / 462

GCD(3, 462) = 1386 / 462

GCD(3, 462) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 903

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

LCM(3, 903) = 903

GCD(3, 903) = ( 3 x 903 ) / 903

GCD(3, 903) = 2709 / 903

GCD(3, 903) = 3

GCD of 858, 861, 462, 903 is 3

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1. What is the GCD of 858, 861, 462, 903?

GCD of 858, 861, 462, 903 is 3

2. Where do I get the detailed procedure to find GCD of 858, 861, 462, 903?

You can find a detailed procedure to find GCD of 858, 861, 462, 903 on our page.

3. How to find GCD of 858, 861, 462, 903 on a calculator?

You can find the GCD of 858, 861, 462, 903 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.