GCD of 382, 732, 268, 826 Calculator

Given Input numbers are 382, 732, 268, 826

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

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 826

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

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

Greatest Common Divisior

We found the divisors of 382, 732, 268, 826 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 732, 268, 826 is 2.

Therefore, GCD of numbers 382, 732, 268, 826 is 2

Given Input Data is 382, 732, 268, 826

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

Prime Factorization of 382 is 2 x 191

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 826 is 2 x 7 x 59

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(382, 732) = 139812

GCD(382, 732) = ( 382 x 732 ) / 139812

GCD(382, 732) = 279624 / 139812

GCD(382, 732) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 268

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

LCM(2, 268) = 268

GCD(2, 268) = ( 2 x 268 ) / 268

GCD(2, 268) = 536 / 268

GCD(2, 268) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 826

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

LCM(2, 826) = 826

GCD(2, 826) = ( 2 x 826 ) / 826

GCD(2, 826) = 1652 / 826

GCD(2, 826) = 2

GCD of 382, 732, 268, 826 is 2

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1. What is the GCD of 382, 732, 268, 826?

GCD of 382, 732, 268, 826 is 2

2. Where do I get the detailed procedure to find GCD of 382, 732, 268, 826?

You can find a detailed procedure to find GCD of 382, 732, 268, 826 on our page.

3. How to find GCD of 382, 732, 268, 826 on a calculator?

You can find the GCD of 382, 732, 268, 826 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.