GCD of 344, 126, 763, 927 Calculator

Given Input numbers are 344, 126, 763, 927

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

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

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 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Divisors of 927

List of positive integer divisors of 927 that divides 927 without a remainder.

1, 3, 9, 103, 309, 927

Greatest Common Divisior

We found the divisors of 344, 126, 763, 927 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 126, 763, 927 is 1.

Therefore, GCD of numbers 344, 126, 763, 927 is 1

Given Input Data is 344, 126, 763, 927

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

Prime Factorization of 344 is 2 x 2 x 2 x 43

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

Prime Factorization of 763 is 7 x 109

Prime Factorization of 927 is 3 x 3 x 103

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(344, 126) = 21672

GCD(344, 126) = ( 344 x 126 ) / 21672

GCD(344, 126) = 43344 / 21672

GCD(344, 126) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 763

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

LCM(2, 763) = 1526

GCD(2, 763) = ( 2 x 763 ) / 1526

GCD(2, 763) = 1526 / 1526

GCD(2, 763) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 927

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

LCM(1, 927) = 927

GCD(1, 927) = ( 1 x 927 ) / 927

GCD(1, 927) = 927 / 927

GCD(1, 927) = 1

GCD of 344, 126, 763, 927 is 1

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1. What is the GCD of 344, 126, 763, 927?

GCD of 344, 126, 763, 927 is 1

2. Where do I get the detailed procedure to find GCD of 344, 126, 763, 927?

You can find a detailed procedure to find GCD of 344, 126, 763, 927 on our page.

3. How to find GCD of 344, 126, 763, 927 on a calculator?

You can find the GCD of 344, 126, 763, 927 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.