GCD of 501, 336, 348, 408 Calculator

Given Input numbers are 501, 336, 348, 408

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

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

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

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Greatest Common Divisior

We found the divisors of 501, 336, 348, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 336, 348, 408 is 3.

Therefore, GCD of numbers 501, 336, 348, 408 is 3

Given Input Data is 501, 336, 348, 408

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

Prime Factorization of 501 is 3 x 167

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

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

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

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(501, 336) = 56112

GCD(501, 336) = ( 501 x 336 ) / 56112

GCD(501, 336) = 168336 / 56112

GCD(501, 336) = 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

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 408

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

LCM(3, 408) = 408

GCD(3, 408) = ( 3 x 408 ) / 408

GCD(3, 408) = 1224 / 408

GCD(3, 408) = 3

GCD of 501, 336, 348, 408 is 3

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1. What is the GCD of 501, 336, 348, 408?

GCD of 501, 336, 348, 408 is 3

2. Where do I get the detailed procedure to find GCD of 501, 336, 348, 408?

You can find a detailed procedure to find GCD of 501, 336, 348, 408 on our page.

3. How to find GCD of 501, 336, 348, 408 on a calculator?

You can find the GCD of 501, 336, 348, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.