GCD of 744, 871, 358 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 744, 871, 358 i.e. 1 largest integer that divides all the numbers equally.

GCD of 744, 871, 358 is 1

GCD(744, 871, 358) = 1

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

GCD of

GCD of numbers 744, 871, 358 is 1

GCD(744, 871, 358) = 1

GCD of 744,871,358 Calculator

GCDof 744,871,358 is 1

Given Input numbers are 744, 871, 358

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

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 871

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

1, 13, 67, 871

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Greatest Common Divisior

We found the divisors of 744, 871, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 871, 358 is 1.

Therefore, GCD of numbers 744, 871, 358 is 1

Finding GCD of 744, 871, 358 using Prime Factorization

Given Input Data is 744, 871, 358

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

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 871 is 13 x 67

Prime Factorization of 358 is 2 x 179

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

Finding GCD of 744, 871, 358 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(744, 871) = 648024

GCD(744, 871) = ( 744 x 871 ) / 648024

GCD(744, 871) = 648024 / 648024

GCD(744, 871) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 358

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

LCM(1, 358) = 358

GCD(1, 358) = ( 1 x 358 ) / 358

GCD(1, 358) = 358 / 358

GCD(1, 358) = 1

GCD of 744, 871, 358 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 744, 871, 358

1. What is the GCD of 744, 871, 358?

GCD of 744, 871, 358 is 1


2. Where do I get the detailed procedure to find GCD of 744, 871, 358?

You can find a detailed procedure to find GCD of 744, 871, 358 on our page.


3. How to find GCD of 744, 871, 358 on a calculator?

You can find the GCD of 744, 871, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.