GCD of 415, 132, 162, 338 Calculator

Given Input numbers are 415, 132, 162, 338

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

Divisors of 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 415, 132, 162, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 415, 132, 162, 338 is 1.

Therefore, GCD of numbers 415, 132, 162, 338 is 1

Given Input Data is 415, 132, 162, 338

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

Prime Factorization of 415 is 5 x 83

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 338 is 2 x 13 x 13

The above numbers do not have any common prime factor. So GCD is 1

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(415, 132) = 54780

GCD(415, 132) = ( 415 x 132 ) / 54780

GCD(415, 132) = 54780 / 54780

GCD(415, 132) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 162

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

LCM(1, 162) = 162

GCD(1, 162) = ( 1 x 162 ) / 162

GCD(1, 162) = 162 / 162

GCD(1, 162) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

GCD of 415, 132, 162, 338 is 1

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1. What is the GCD of 415, 132, 162, 338?

GCD of 415, 132, 162, 338 is 1

2. Where do I get the detailed procedure to find GCD of 415, 132, 162, 338?

You can find a detailed procedure to find GCD of 415, 132, 162, 338 on our page.

3. How to find GCD of 415, 132, 162, 338 on a calculator?

You can find the GCD of 415, 132, 162, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.