GCD of 871, 335, 44, 738 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 871, 335, 44, 738 i.e. 1 largest integer that divides all the numbers equally.

GCD of 871, 335, 44, 738 is 1

GCD(871, 335, 44, 738) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 871, 335, 44, 738 is 1

GCD(871, 335, 44, 738) = 1

GCD of 871,335,44,738 Calculator

GCDof 871,335,44,738 is 1

Given Input numbers are 871, 335, 44, 738

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 335

List of positive integer divisors of 335 that divides 335 without a remainder.

1, 5, 67, 335

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 871, 335, 44, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 335, 44, 738 is 1.

Therefore, GCD of numbers 871, 335, 44, 738 is 1

Finding GCD of 871, 335, 44, 738 using Prime Factorization

Given Input Data is 871, 335, 44, 738

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

Prime Factorization of 871 is 13 x 67

Prime Factorization of 335 is 5 x 67

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 738 is 2 x 3 x 3 x 41

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 871, 335, 44, 738 using LCM Formula

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, 335) = 4355

GCD(871, 335) = ( 871 x 335 ) / 4355

GCD(871, 335) = 291785 / 4355

GCD(871, 335) = 67


Step2:

Here we consider the GCD from the above i.e. 67 as first number and the next as 44

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

LCM(67, 44) = 2948

GCD(67, 44) = ( 67 x 44 ) / 2948

GCD(67, 44) = 2948 / 2948

GCD(67, 44) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 738

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

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

GCD(1, 738) = 738 / 738

GCD(1, 738) = 1

GCD of 871, 335, 44, 738 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 871, 335, 44, 738

1. What is the GCD of 871, 335, 44, 738?

GCD of 871, 335, 44, 738 is 1


2. Where do I get the detailed procedure to find GCD of 871, 335, 44, 738?

You can find a detailed procedure to find GCD of 871, 335, 44, 738 on our page.


3. How to find GCD of 871, 335, 44, 738 on a calculator?

You can find the GCD of 871, 335, 44, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.