GCD of 418, 154, 496, 182 Calculator

Given Input numbers are 418, 154, 496, 182

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 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Greatest Common Divisior

We found the divisors of 418, 154, 496, 182 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 418, 154, 496, 182 is 2.

Therefore, GCD of numbers 418, 154, 496, 182 is 2

Given Input Data is 418, 154, 496, 182

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 154 is 2 x 7 x 11

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 182 is 2 x 7 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(418, 154) = 2926

GCD(418, 154) = ( 418 x 154 ) / 2926

GCD(418, 154) = 64372 / 2926

GCD(418, 154) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 496

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

LCM(22, 496) = 5456

GCD(22, 496) = ( 22 x 496 ) / 5456

GCD(22, 496) = 10912 / 5456

GCD(22, 496) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 182

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

LCM(2, 182) = 182

GCD(2, 182) = ( 2 x 182 ) / 182

GCD(2, 182) = 364 / 182

GCD(2, 182) = 2

GCD of 418, 154, 496, 182 is 2

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1. What is the GCD of 418, 154, 496, 182?

GCD of 418, 154, 496, 182 is 2

2. Where do I get the detailed procedure to find GCD of 418, 154, 496, 182?

You can find a detailed procedure to find GCD of 418, 154, 496, 182 on our page.

3. How to find GCD of 418, 154, 496, 182 on a calculator?

You can find the GCD of 418, 154, 496, 182 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.