GCD of 993, 177, 49, 985 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 993, 177, 49, 985 i.e. 1 largest integer that divides all the numbers equally.

GCD of 993, 177, 49, 985 is 1

GCD(993, 177, 49, 985) = 1

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

GCD of

GCD of numbers 993, 177, 49, 985 is 1

GCD(993, 177, 49, 985) = 1

GCD of 993,177,49,985 Calculator

GCDof 993,177,49,985 is 1

Given Input numbers are 993, 177, 49, 985

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

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 985

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

1, 5, 197, 985

Greatest Common Divisior

We found the divisors of 993, 177, 49, 985 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 177, 49, 985 is 1.

Therefore, GCD of numbers 993, 177, 49, 985 is 1

Finding GCD of 993, 177, 49, 985 using Prime Factorization

Given Input Data is 993, 177, 49, 985

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

Prime Factorization of 993 is 3 x 331

Prime Factorization of 177 is 3 x 59

Prime Factorization of 49 is 7 x 7

Prime Factorization of 985 is 5 x 197

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

Finding GCD of 993, 177, 49, 985 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(993, 177) = 58587

GCD(993, 177) = ( 993 x 177 ) / 58587

GCD(993, 177) = 175761 / 58587

GCD(993, 177) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 49

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

LCM(3, 49) = 147

GCD(3, 49) = ( 3 x 49 ) / 147

GCD(3, 49) = 147 / 147

GCD(3, 49) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 985

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

LCM(1, 985) = 985

GCD(1, 985) = ( 1 x 985 ) / 985

GCD(1, 985) = 985 / 985

GCD(1, 985) = 1

GCD of 993, 177, 49, 985 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 993, 177, 49, 985

1. What is the GCD of 993, 177, 49, 985?

GCD of 993, 177, 49, 985 is 1


2. Where do I get the detailed procedure to find GCD of 993, 177, 49, 985?

You can find a detailed procedure to find GCD of 993, 177, 49, 985 on our page.


3. How to find GCD of 993, 177, 49, 985 on a calculator?

You can find the GCD of 993, 177, 49, 985 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.