GCD of 506, 376, 44, 141 Calculator

Given Input numbers are 506, 376, 44, 141

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Greatest Common Divisior

We found the divisors of 506, 376, 44, 141 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 376, 44, 141 is 1.

Therefore, GCD of numbers 506, 376, 44, 141 is 1

Given Input Data is 506, 376, 44, 141

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

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 141 is 3 x 47

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(506, 376) = 95128

GCD(506, 376) = ( 506 x 376 ) / 95128

GCD(506, 376) = 190256 / 95128

GCD(506, 376) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 44

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

LCM(2, 44) = 44

GCD(2, 44) = ( 2 x 44 ) / 44

GCD(2, 44) = 88 / 44

GCD(2, 44) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 141

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

LCM(2, 141) = 282

GCD(2, 141) = ( 2 x 141 ) / 282

GCD(2, 141) = 282 / 282

GCD(2, 141) = 1

GCD of 506, 376, 44, 141 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 318, 605, 94, 318
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• GCD of 599, 486, 15, 752

1. What is the GCD of 506, 376, 44, 141?

GCD of 506, 376, 44, 141 is 1

2. Where do I get the detailed procedure to find GCD of 506, 376, 44, 141?

You can find a detailed procedure to find GCD of 506, 376, 44, 141 on our page.

3. How to find GCD of 506, 376, 44, 141 on a calculator?

You can find the GCD of 506, 376, 44, 141 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.