GCD of 985, 313, 10, 743 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 985, 313, 10, 743 i.e. 1 largest integer that divides all the numbers equally.

GCD of 985, 313, 10, 743 is 1

GCD(985, 313, 10, 743) = 1

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

GCD of

GCD of numbers 985, 313, 10, 743 is 1

GCD(985, 313, 10, 743) = 1

GCD of 985,313,10,743 Calculator

GCDof 985,313,10,743 is 1

Given Input numbers are 985, 313, 10, 743

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

Divisors of 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 743

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

1, 743

Greatest Common Divisior

We found the divisors of 985, 313, 10, 743 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 985, 313, 10, 743 is 1.

Therefore, GCD of numbers 985, 313, 10, 743 is 1

Finding GCD of 985, 313, 10, 743 using Prime Factorization

Given Input Data is 985, 313, 10, 743

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

Prime Factorization of 985 is 5 x 197

Prime Factorization of 313 is 313

Prime Factorization of 10 is 2 x 5

Prime Factorization of 743 is 743

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

Finding GCD of 985, 313, 10, 743 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(985, 313) = 308305

GCD(985, 313) = ( 985 x 313 ) / 308305

GCD(985, 313) = 308305 / 308305

GCD(985, 313) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 743

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

LCM(1, 743) = 743

GCD(1, 743) = ( 1 x 743 ) / 743

GCD(1, 743) = 743 / 743

GCD(1, 743) = 1

GCD of 985, 313, 10, 743 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 985, 313, 10, 743

1. What is the GCD of 985, 313, 10, 743?

GCD of 985, 313, 10, 743 is 1


2. Where do I get the detailed procedure to find GCD of 985, 313, 10, 743?

You can find a detailed procedure to find GCD of 985, 313, 10, 743 on our page.


3. How to find GCD of 985, 313, 10, 743 on a calculator?

You can find the GCD of 985, 313, 10, 743 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.