GCD of 436, 826, 262, 396 Calculator

Given Input numbers are 436, 826, 262, 396

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

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

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 262

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

1, 2, 131, 262

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Greatest Common Divisior

We found the divisors of 436, 826, 262, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 436, 826, 262, 396 is 2.

Therefore, GCD of numbers 436, 826, 262, 396 is 2

Given Input Data is 436, 826, 262, 396

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

Prime Factorization of 436 is 2 x 2 x 109

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 262 is 2 x 131

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

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(436, 826) = 180068

GCD(436, 826) = ( 436 x 826 ) / 180068

GCD(436, 826) = 360136 / 180068

GCD(436, 826) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 262

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

LCM(2, 262) = 262

GCD(2, 262) = ( 2 x 262 ) / 262

GCD(2, 262) = 524 / 262

GCD(2, 262) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 396

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

LCM(2, 396) = 396

GCD(2, 396) = ( 2 x 396 ) / 396

GCD(2, 396) = 792 / 396

GCD(2, 396) = 2

GCD of 436, 826, 262, 396 is 2

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1. What is the GCD of 436, 826, 262, 396?

GCD of 436, 826, 262, 396 is 2

2. Where do I get the detailed procedure to find GCD of 436, 826, 262, 396?

You can find a detailed procedure to find GCD of 436, 826, 262, 396 on our page.

3. How to find GCD of 436, 826, 262, 396 on a calculator?

You can find the GCD of 436, 826, 262, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.