GCD of 836, 826, 10, 200 Calculator

Given Input numbers are 836, 826, 10, 200

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 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 10

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

1, 2, 5, 10

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Greatest Common Divisior

We found the divisors of 836, 826, 10, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 836, 826, 10, 200 is 2.

Therefore, GCD of numbers 836, 826, 10, 200 is 2

Given Input Data is 836, 826, 10, 200

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 826 is 2 x 7 x 59

Prime Factorization of 10 is 2 x 5

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

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, 826) = 345268

GCD(836, 826) = ( 836 x 826 ) / 345268

GCD(836, 826) = 690536 / 345268

GCD(836, 826) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 10

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

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

GCD(2, 10) = 20 / 10

GCD(2, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 200

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

LCM(2, 200) = 200

GCD(2, 200) = ( 2 x 200 ) / 200

GCD(2, 200) = 400 / 200

GCD(2, 200) = 2

GCD of 836, 826, 10, 200 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 389, 501, 96, 691
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• GCD of 467, 519, 46, 152
• GCD of 807, 288, 77, 482
• GCD of 194, 702, 22, 975

1. What is the GCD of 836, 826, 10, 200?

GCD of 836, 826, 10, 200 is 2

2. Where do I get the detailed procedure to find GCD of 836, 826, 10, 200?

You can find a detailed procedure to find GCD of 836, 826, 10, 200 on our page.

3. How to find GCD of 836, 826, 10, 200 on a calculator?

You can find the GCD of 836, 826, 10, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.