GCD of 12, 262, 836, 780 Calculator

Given Input numbers are 12, 262, 836, 780

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

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

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 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Greatest Common Divisior

We found the divisors of 12, 262, 836, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 262, 836, 780 is 2.

Therefore, GCD of numbers 12, 262, 836, 780 is 2

Given Input Data is 12, 262, 836, 780

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

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 262 is 2 x 131

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

Prime Factorization of 780 is 2 x 2 x 3 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(12, 262) = 1572

GCD(12, 262) = ( 12 x 262 ) / 1572

GCD(12, 262) = 3144 / 1572

GCD(12, 262) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 836

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

LCM(2, 836) = 836

GCD(2, 836) = ( 2 x 836 ) / 836

GCD(2, 836) = 1672 / 836

GCD(2, 836) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 780

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

LCM(2, 780) = 780

GCD(2, 780) = ( 2 x 780 ) / 780

GCD(2, 780) = 1560 / 780

GCD(2, 780) = 2

GCD of 12, 262, 836, 780 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 58, 603, 255, 291
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• GCD of 86, 907, 107, 640

1. What is the GCD of 12, 262, 836, 780?

GCD of 12, 262, 836, 780 is 2

2. Where do I get the detailed procedure to find GCD of 12, 262, 836, 780?

You can find a detailed procedure to find GCD of 12, 262, 836, 780 on our page.

3. How to find GCD of 12, 262, 836, 780 on a calculator?

You can find the GCD of 12, 262, 836, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.