GCD of 318, 749, 87 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 318, 749, 87 i.e. 1 largest integer that divides all the numbers equally.

GCD of 318, 749, 87 is 1

GCD(318, 749, 87) = 1

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

GCD of

GCD of numbers 318, 749, 87 is 1

GCD(318, 749, 87) = 1

GCD of 318,749,87 Calculator

GCDof 318,749,87 is 1

Given Input numbers are 318, 749, 87

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

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Greatest Common Divisior

We found the divisors of 318, 749, 87 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 749, 87 is 1.

Therefore, GCD of numbers 318, 749, 87 is 1

Finding GCD of 318, 749, 87 using Prime Factorization

Given Input Data is 318, 749, 87

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

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 749 is 7 x 107

Prime Factorization of 87 is 3 x 29

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

Finding GCD of 318, 749, 87 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(318, 749) = 238182

GCD(318, 749) = ( 318 x 749 ) / 238182

GCD(318, 749) = 238182 / 238182

GCD(318, 749) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 87

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

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

GCD(1, 87) = 87 / 87

GCD(1, 87) = 1

GCD of 318, 749, 87 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 318, 749, 87

1. What is the GCD of 318, 749, 87?

GCD of 318, 749, 87 is 1


2. Where do I get the detailed procedure to find GCD of 318, 749, 87?

You can find a detailed procedure to find GCD of 318, 749, 87 on our page.


3. How to find GCD of 318, 749, 87 on a calculator?

You can find the GCD of 318, 749, 87 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.