GCD of 126, 397, 623, 783 Calculator

Given Input numbers are 126, 397, 623, 783

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 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 623

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

1, 7, 89, 623

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Greatest Common Divisior

We found the divisors of 126, 397, 623, 783 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 397, 623, 783 is 1.

Therefore, GCD of numbers 126, 397, 623, 783 is 1

Given Input Data is 126, 397, 623, 783

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 397 is 397

Prime Factorization of 623 is 7 x 89

Prime Factorization of 783 is 3 x 3 x 3 x 29

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, 397) = 50022

GCD(126, 397) = ( 126 x 397 ) / 50022

GCD(126, 397) = 50022 / 50022

GCD(126, 397) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 623

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

LCM(1, 623) = 623

GCD(1, 623) = ( 1 x 623 ) / 623

GCD(1, 623) = 623 / 623

GCD(1, 623) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 783

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

LCM(1, 783) = 783

GCD(1, 783) = ( 1 x 783 ) / 783

GCD(1, 783) = 783 / 783

GCD(1, 783) = 1

GCD of 126, 397, 623, 783 is 1

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1. What is the GCD of 126, 397, 623, 783?

GCD of 126, 397, 623, 783 is 1

2. Where do I get the detailed procedure to find GCD of 126, 397, 623, 783?

You can find a detailed procedure to find GCD of 126, 397, 623, 783 on our page.

3. How to find GCD of 126, 397, 623, 783 on a calculator?

You can find the GCD of 126, 397, 623, 783 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.