GCD of 418, 396, 82, 262 Calculator

Given Input numbers are 418, 396, 82, 262

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

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

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

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 262

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

1, 2, 131, 262

Greatest Common Divisior

We found the divisors of 418, 396, 82, 262 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 418, 396, 82, 262 is 2.

Therefore, GCD of numbers 418, 396, 82, 262 is 2

Given Input Data is 418, 396, 82, 262

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

Prime Factorization of 418 is 2 x 11 x 19

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 262 is 2 x 131

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(418, 396) = 7524

GCD(418, 396) = ( 418 x 396 ) / 7524

GCD(418, 396) = 165528 / 7524

GCD(418, 396) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 82

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

LCM(22, 82) = 902

GCD(22, 82) = ( 22 x 82 ) / 902

GCD(22, 82) = 1804 / 902

GCD(22, 82) = 2

Step3:

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

GCD of 418, 396, 82, 262 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 146, 968, 53, 908
• GCD of 499, 146, 40, 310
• GCD of 694, 489, 20, 518
• GCD of 899, 773, 72, 813
• GCD of 496, 690, 27, 627

1. What is the GCD of 418, 396, 82, 262?

GCD of 418, 396, 82, 262 is 2

2. Where do I get the detailed procedure to find GCD of 418, 396, 82, 262?

You can find a detailed procedure to find GCD of 418, 396, 82, 262 on our page.

3. How to find GCD of 418, 396, 82, 262 on a calculator?

You can find the GCD of 418, 396, 82, 262 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.