GCD of 126, 301, 21, 437 Calculator

Given Input numbers are 126, 301, 21, 437

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 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 437

List of positive integer divisors of 437 that divides 437 without a remainder.

1, 19, 23, 437

Greatest Common Divisior

We found the divisors of 126, 301, 21, 437 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 301, 21, 437 is 1.

Therefore, GCD of numbers 126, 301, 21, 437 is 1

Given Input Data is 126, 301, 21, 437

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 301 is 7 x 43

Prime Factorization of 21 is 3 x 7

Prime Factorization of 437 is 19 x 23

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, 301) = 5418

GCD(126, 301) = ( 126 x 301 ) / 5418

GCD(126, 301) = 37926 / 5418

GCD(126, 301) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 21

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

LCM(7, 21) = 21

GCD(7, 21) = ( 7 x 21 ) / 21

GCD(7, 21) = 147 / 21

GCD(7, 21) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 437

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

LCM(7, 437) = 3059

GCD(7, 437) = ( 7 x 437 ) / 3059

GCD(7, 437) = 3059 / 3059

GCD(7, 437) = 1

GCD of 126, 301, 21, 437 is 1

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• GCD of 304, 703, 59, 413
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• GCD of 449, 604, 40, 196

1. What is the GCD of 126, 301, 21, 437?

GCD of 126, 301, 21, 437 is 1

2. Where do I get the detailed procedure to find GCD of 126, 301, 21, 437?

You can find a detailed procedure to find GCD of 126, 301, 21, 437 on our page.

3. How to find GCD of 126, 301, 21, 437 on a calculator?

You can find the GCD of 126, 301, 21, 437 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.