GCD of 623, 399, 643, 126 Calculator

Given Input numbers are 623, 399, 643, 126

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

Divisors of 623

List of positive integer divisors of 623 that divides 623 without a remainder.

1, 7, 89, 623

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

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

Greatest Common Divisior

We found the divisors of 623, 399, 643, 126 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 623, 399, 643, 126 is 1.

Therefore, GCD of numbers 623, 399, 643, 126 is 1

Given Input Data is 623, 399, 643, 126

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

Prime Factorization of 623 is 7 x 89

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 643 is 643

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

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(623, 399) = 35511

GCD(623, 399) = ( 623 x 399 ) / 35511

GCD(623, 399) = 248577 / 35511

GCD(623, 399) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 643

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

LCM(7, 643) = 4501

GCD(7, 643) = ( 7 x 643 ) / 4501

GCD(7, 643) = 4501 / 4501

GCD(7, 643) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 126

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

LCM(1, 126) = 126

GCD(1, 126) = ( 1 x 126 ) / 126

GCD(1, 126) = 126 / 126

GCD(1, 126) = 1

GCD of 623, 399, 643, 126 is 1

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1. What is the GCD of 623, 399, 643, 126?

GCD of 623, 399, 643, 126 is 1

2. Where do I get the detailed procedure to find GCD of 623, 399, 643, 126?

You can find a detailed procedure to find GCD of 623, 399, 643, 126 on our page.

3. How to find GCD of 623, 399, 643, 126 on a calculator?

You can find the GCD of 623, 399, 643, 126 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.