GCD of 993, 612, 141, 707 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, 612, 141, 707 i.e. 1 largest integer that divides all the numbers equally.

GCD of 993, 612, 141, 707 is 1

GCD(993, 612, 141, 707) = 1

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

GCD of

GCD of numbers 993, 612, 141, 707 is 1

GCD(993, 612, 141, 707) = 1

GCD of 993,612,141,707 Calculator

GCDof 993,612,141,707 is 1

Given Input numbers are 993, 612, 141, 707

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 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Greatest Common Divisior

We found the divisors of 993, 612, 141, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 612, 141, 707 is 1.

Therefore, GCD of numbers 993, 612, 141, 707 is 1

Finding GCD of 993, 612, 141, 707 using Prime Factorization

Given Input Data is 993, 612, 141, 707

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

Prime Factorization of 993 is 3 x 331

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 141 is 3 x 47

Prime Factorization of 707 is 7 x 101

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

Finding GCD of 993, 612, 141, 707 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, 612) = 202572

GCD(993, 612) = ( 993 x 612 ) / 202572

GCD(993, 612) = 607716 / 202572

GCD(993, 612) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 141

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

LCM(3, 141) = 141

GCD(3, 141) = ( 3 x 141 ) / 141

GCD(3, 141) = 423 / 141

GCD(3, 141) = 3


Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 707

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

LCM(3, 707) = 2121

GCD(3, 707) = ( 3 x 707 ) / 2121

GCD(3, 707) = 2121 / 2121

GCD(3, 707) = 1

GCD of 993, 612, 141, 707 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 993, 612, 141, 707

1. What is the GCD of 993, 612, 141, 707?

GCD of 993, 612, 141, 707 is 1


2. Where do I get the detailed procedure to find GCD of 993, 612, 141, 707?

You can find a detailed procedure to find GCD of 993, 612, 141, 707 on our page.


3. How to find GCD of 993, 612, 141, 707 on a calculator?

You can find the GCD of 993, 612, 141, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.