GCD of 938, 206, 51, 993 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 938, 206, 51, 993 i.e. 1 largest integer that divides all the numbers equally.

GCD of 938, 206, 51, 993 is 1

GCD(938, 206, 51, 993) = 1

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

GCD of

GCD of numbers 938, 206, 51, 993 is 1

GCD(938, 206, 51, 993) = 1

GCD of 938,206,51,993 Calculator

GCDof 938,206,51,993 is 1

Given Input numbers are 938, 206, 51, 993

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

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 993

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

1, 3, 331, 993

Greatest Common Divisior

We found the divisors of 938, 206, 51, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 938, 206, 51, 993 is 1.

Therefore, GCD of numbers 938, 206, 51, 993 is 1

Finding GCD of 938, 206, 51, 993 using Prime Factorization

Given Input Data is 938, 206, 51, 993

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

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 206 is 2 x 103

Prime Factorization of 51 is 3 x 17

Prime Factorization of 993 is 3 x 331

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

Finding GCD of 938, 206, 51, 993 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(938, 206) = 96614

GCD(938, 206) = ( 938 x 206 ) / 96614

GCD(938, 206) = 193228 / 96614

GCD(938, 206) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 51

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

LCM(2, 51) = 102

GCD(2, 51) = ( 2 x 51 ) / 102

GCD(2, 51) = 102 / 102

GCD(2, 51) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 993

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

LCM(1, 993) = 993

GCD(1, 993) = ( 1 x 993 ) / 993

GCD(1, 993) = 993 / 993

GCD(1, 993) = 1

GCD of 938, 206, 51, 993 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 938, 206, 51, 993

1. What is the GCD of 938, 206, 51, 993?

GCD of 938, 206, 51, 993 is 1


2. Where do I get the detailed procedure to find GCD of 938, 206, 51, 993?

You can find a detailed procedure to find GCD of 938, 206, 51, 993 on our page.


3. How to find GCD of 938, 206, 51, 993 on a calculator?

You can find the GCD of 938, 206, 51, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.