GCD of 743, 740, 85, 395 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 743, 740, 85, 395 i.e. 1 largest integer that divides all the numbers equally.

GCD of 743, 740, 85, 395 is 1

GCD(743, 740, 85, 395) = 1

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

GCD of

GCD of numbers 743, 740, 85, 395 is 1

GCD(743, 740, 85, 395) = 1

GCD of 743,740,85,395 Calculator

GCDof 743,740,85,395 is 1

Given Input numbers are 743, 740, 85, 395

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

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Greatest Common Divisior

We found the divisors of 743, 740, 85, 395 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 743, 740, 85, 395 is 1.

Therefore, GCD of numbers 743, 740, 85, 395 is 1

Finding GCD of 743, 740, 85, 395 using Prime Factorization

Given Input Data is 743, 740, 85, 395

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

Prime Factorization of 743 is 743

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 85 is 5 x 17

Prime Factorization of 395 is 5 x 79

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

Finding GCD of 743, 740, 85, 395 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(743, 740) = 549820

GCD(743, 740) = ( 743 x 740 ) / 549820

GCD(743, 740) = 549820 / 549820

GCD(743, 740) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 85

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

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

GCD(1, 85) = 85 / 85

GCD(1, 85) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 395

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

LCM(1, 395) = 395

GCD(1, 395) = ( 1 x 395 ) / 395

GCD(1, 395) = 395 / 395

GCD(1, 395) = 1

GCD of 743, 740, 85, 395 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 743, 740, 85, 395

1. What is the GCD of 743, 740, 85, 395?

GCD of 743, 740, 85, 395 is 1


2. Where do I get the detailed procedure to find GCD of 743, 740, 85, 395?

You can find a detailed procedure to find GCD of 743, 740, 85, 395 on our page.


3. How to find GCD of 743, 740, 85, 395 on a calculator?

You can find the GCD of 743, 740, 85, 395 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.