GCD of 824, 836, 830, 260 Calculator

Given Input numbers are 824, 836, 830, 260

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

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

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 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Greatest Common Divisior

We found the divisors of 824, 836, 830, 260 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 836, 830, 260 is 2.

Therefore, GCD of numbers 824, 836, 830, 260 is 2

Given Input Data is 824, 836, 830, 260

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

Prime Factorization of 824 is 2 x 2 x 2 x 103

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

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 260 is 2 x 2 x 5 x 13

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(824, 836) = 172216

GCD(824, 836) = ( 824 x 836 ) / 172216

GCD(824, 836) = 688864 / 172216

GCD(824, 836) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 830

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

LCM(4, 830) = 1660

GCD(4, 830) = ( 4 x 830 ) / 1660

GCD(4, 830) = 3320 / 1660

GCD(4, 830) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 260

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

LCM(2, 260) = 260

GCD(2, 260) = ( 2 x 260 ) / 260

GCD(2, 260) = 520 / 260

GCD(2, 260) = 2

GCD of 824, 836, 830, 260 is 2

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1. What is the GCD of 824, 836, 830, 260?

GCD of 824, 836, 830, 260 is 2

2. Where do I get the detailed procedure to find GCD of 824, 836, 830, 260?

You can find a detailed procedure to find GCD of 824, 836, 830, 260 on our page.

3. How to find GCD of 824, 836, 830, 260 on a calculator?

You can find the GCD of 824, 836, 830, 260 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.