GCD of 923, 275, 109, 368 Calculator

Given Input numbers are 923, 275, 109, 368

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

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Greatest Common Divisior

We found the divisors of 923, 275, 109, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 923, 275, 109, 368 is 1.

Therefore, GCD of numbers 923, 275, 109, 368 is 1

Given Input Data is 923, 275, 109, 368

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

Prime Factorization of 923 is 13 x 71

Prime Factorization of 275 is 5 x 5 x 11

Prime Factorization of 109 is 109

Prime Factorization of 368 is 2 x 2 x 2 x 2 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(923, 275) = 253825

GCD(923, 275) = ( 923 x 275 ) / 253825

GCD(923, 275) = 253825 / 253825

GCD(923, 275) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 109

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

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

GCD(1, 109) = 109 / 109

GCD(1, 109) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 368

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

LCM(1, 368) = 368

GCD(1, 368) = ( 1 x 368 ) / 368

GCD(1, 368) = 368 / 368

GCD(1, 368) = 1

GCD of 923, 275, 109, 368 is 1

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1. What is the GCD of 923, 275, 109, 368?

GCD of 923, 275, 109, 368 is 1

2. Where do I get the detailed procedure to find GCD of 923, 275, 109, 368?

You can find a detailed procedure to find GCD of 923, 275, 109, 368 on our page.

3. How to find GCD of 923, 275, 109, 368 on a calculator?

You can find the GCD of 923, 275, 109, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.