GCD of 126, 873, 15, 241 Calculator

Given Input numbers are 126, 873, 15, 241

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

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 241

List of positive integer divisors of 241 that divides 241 without a remainder.

1, 241

Greatest Common Divisior

We found the divisors of 126, 873, 15, 241 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 873, 15, 241 is 1.

Therefore, GCD of numbers 126, 873, 15, 241 is 1

Given Input Data is 126, 873, 15, 241

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

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 873 is 3 x 3 x 97

Prime Factorization of 15 is 3 x 5

Prime Factorization of 241 is 241

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(126, 873) = 12222

GCD(126, 873) = ( 126 x 873 ) / 12222

GCD(126, 873) = 109998 / 12222

GCD(126, 873) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 15

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

LCM(9, 15) = 45

GCD(9, 15) = ( 9 x 15 ) / 45

GCD(9, 15) = 135 / 45

GCD(9, 15) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 241

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

LCM(3, 241) = 723

GCD(3, 241) = ( 3 x 241 ) / 723

GCD(3, 241) = 723 / 723

GCD(3, 241) = 1

GCD of 126, 873, 15, 241 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 649, 525, 99, 529
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• GCD of 417, 645, 73, 981
• GCD of 422, 654, 24, 672
• GCD of 473, 478, 66, 570

1. What is the GCD of 126, 873, 15, 241?

GCD of 126, 873, 15, 241 is 1

2. Where do I get the detailed procedure to find GCD of 126, 873, 15, 241?

You can find a detailed procedure to find GCD of 126, 873, 15, 241 on our page.

3. How to find GCD of 126, 873, 15, 241 on a calculator?

You can find the GCD of 126, 873, 15, 241 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.