GCD of 54, 336, 502, 941 Calculator

Given Input numbers are 54, 336, 502, 941

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

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

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

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 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Divisors of 941

List of positive integer divisors of 941 that divides 941 without a remainder.

1, 941

Greatest Common Divisior

We found the divisors of 54, 336, 502, 941 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 336, 502, 941 is 1.

Therefore, GCD of numbers 54, 336, 502, 941 is 1

Given Input Data is 54, 336, 502, 941

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

Prime Factorization of 54 is 2 x 3 x 3 x 3

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

Prime Factorization of 502 is 2 x 251

Prime Factorization of 941 is 941

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(54, 336) = 3024

GCD(54, 336) = ( 54 x 336 ) / 3024

GCD(54, 336) = 18144 / 3024

GCD(54, 336) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 502

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

LCM(6, 502) = 1506

GCD(6, 502) = ( 6 x 502 ) / 1506

GCD(6, 502) = 3012 / 1506

GCD(6, 502) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 941

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

LCM(2, 941) = 1882

GCD(2, 941) = ( 2 x 941 ) / 1882

GCD(2, 941) = 1882 / 1882

GCD(2, 941) = 1

GCD of 54, 336, 502, 941 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 28, 618, 515, 387
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• GCD of 73, 252, 854, 937

1. What is the GCD of 54, 336, 502, 941?

GCD of 54, 336, 502, 941 is 1

2. Where do I get the detailed procedure to find GCD of 54, 336, 502, 941?

You can find a detailed procedure to find GCD of 54, 336, 502, 941 on our page.

3. How to find GCD of 54, 336, 502, 941 on a calculator?

You can find the GCD of 54, 336, 502, 941 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.