GCD of 165, 411, 348 Calculator

Given Input numbers are 165, 411, 348

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

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 411

List of positive integer divisors of 411 that divides 411 without a remainder.

1, 3, 137, 411

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Greatest Common Divisior

We found the divisors of 165, 411, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 411, 348 is 3.

Therefore, GCD of numbers 165, 411, 348 is 3

Given Input Data is 165, 411, 348

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

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 411 is 3 x 137

Prime Factorization of 348 is 2 x 2 x 3 x 29

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(165, 411) = 22605

GCD(165, 411) = ( 165 x 411 ) / 22605

GCD(165, 411) = 67815 / 22605

GCD(165, 411) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 348

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

LCM(3, 348) = 348

GCD(3, 348) = ( 3 x 348 ) / 348

GCD(3, 348) = 1044 / 348

GCD(3, 348) = 3

GCD of 165, 411, 348 is 3

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1. What is the GCD of 165, 411, 348?

GCD of 165, 411, 348 is 3

2. Where do I get the detailed procedure to find GCD of 165, 411, 348?

You can find a detailed procedure to find GCD of 165, 411, 348 on our page.

3. How to find GCD of 165, 411, 348 on a calculator?

You can find the GCD of 165, 411, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.