GCD of 336, 138, 75, 541 Calculator

Given Input numbers are 336, 138, 75, 541

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

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 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 541

List of positive integer divisors of 541 that divides 541 without a remainder.

1, 541

Greatest Common Divisior

We found the divisors of 336, 138, 75, 541 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 138, 75, 541 is 1.

Therefore, GCD of numbers 336, 138, 75, 541 is 1

Given Input Data is 336, 138, 75, 541

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

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

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 541 is 541

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(336, 138) = 7728

GCD(336, 138) = ( 336 x 138 ) / 7728

GCD(336, 138) = 46368 / 7728

GCD(336, 138) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 75

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

LCM(6, 75) = 150

GCD(6, 75) = ( 6 x 75 ) / 150

GCD(6, 75) = 450 / 150

GCD(6, 75) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 541

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

LCM(3, 541) = 1623

GCD(3, 541) = ( 3 x 541 ) / 1623

GCD(3, 541) = 1623 / 1623

GCD(3, 541) = 1

GCD of 336, 138, 75, 541 is 1

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• GCD of 184, 407, 23, 611
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1. What is the GCD of 336, 138, 75, 541?

GCD of 336, 138, 75, 541 is 1

2. Where do I get the detailed procedure to find GCD of 336, 138, 75, 541?

You can find a detailed procedure to find GCD of 336, 138, 75, 541 on our page.

3. How to find GCD of 336, 138, 75, 541 on a calculator?

You can find the GCD of 336, 138, 75, 541 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.