GCD of 871, 299, 45, 923 Calculator

Given Input numbers are 871, 299, 45, 923

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

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 923

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

1, 13, 71, 923

Greatest Common Divisior

We found the divisors of 871, 299, 45, 923 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 299, 45, 923 is 1.

Therefore, GCD of numbers 871, 299, 45, 923 is 1

Given Input Data is 871, 299, 45, 923

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

Prime Factorization of 871 is 13 x 67

Prime Factorization of 299 is 13 x 23

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 923 is 13 x 71

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(871, 299) = 20033

GCD(871, 299) = ( 871 x 299 ) / 20033

GCD(871, 299) = 260429 / 20033

GCD(871, 299) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 45

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

LCM(13, 45) = 585

GCD(13, 45) = ( 13 x 45 ) / 585

GCD(13, 45) = 585 / 585

GCD(13, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 923

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

LCM(1, 923) = 923

GCD(1, 923) = ( 1 x 923 ) / 923

GCD(1, 923) = 923 / 923

GCD(1, 923) = 1

GCD of 871, 299, 45, 923 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 569, 537, 77, 850
• GCD of 719, 582, 46, 909
• GCD of 584, 209, 72, 642
• GCD of 334, 531, 41, 442
• GCD of 515, 754, 72, 450

1. What is the GCD of 871, 299, 45, 923?

GCD of 871, 299, 45, 923 is 1

2. Where do I get the detailed procedure to find GCD of 871, 299, 45, 923?

You can find a detailed procedure to find GCD of 871, 299, 45, 923 on our page.

3. How to find GCD of 871, 299, 45, 923 on a calculator?

You can find the GCD of 871, 299, 45, 923 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.