GCD of 836, 858, 10, 634 Calculator

Given Input numbers are 836, 858, 10, 634

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

Divisors of 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

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 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Greatest Common Divisior

We found the divisors of 836, 858, 10, 634 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 836, 858, 10, 634 is 2.

Therefore, GCD of numbers 836, 858, 10, 634 is 2

Given Input Data is 836, 858, 10, 634

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

Prime Factorization of 836 is 2 x 2 x 11 x 19

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 634 is 2 x 317

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(836, 858) = 32604

GCD(836, 858) = ( 836 x 858 ) / 32604

GCD(836, 858) = 717288 / 32604

GCD(836, 858) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 10

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

LCM(22, 10) = 110

GCD(22, 10) = ( 22 x 10 ) / 110

GCD(22, 10) = 220 / 110

GCD(22, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 634

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

LCM(2, 634) = 634

GCD(2, 634) = ( 2 x 634 ) / 634

GCD(2, 634) = 1268 / 634

GCD(2, 634) = 2

GCD of 836, 858, 10, 634 is 2

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1. What is the GCD of 836, 858, 10, 634?

GCD of 836, 858, 10, 634 is 2

2. Where do I get the detailed procedure to find GCD of 836, 858, 10, 634?

You can find a detailed procedure to find GCD of 836, 858, 10, 634 on our page.

3. How to find GCD of 836, 858, 10, 634 on a calculator?

You can find the GCD of 836, 858, 10, 634 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.