GCD of 260, 840, 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 260, 840, 993 i.e. 1 largest integer that divides all the numbers equally.

GCD of 260, 840, 993 is 1

GCD(260, 840, 993) = 1

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

GCD of

GCD of numbers 260, 840, 993 is 1

GCD(260, 840, 993) = 1

GCD of 260,840,993 Calculator

GCDof 260,840,993 is 1

Given Input numbers are 260, 840, 993

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

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

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 260, 840, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 840, 993 is 1.

Therefore, GCD of numbers 260, 840, 993 is 1

Finding GCD of 260, 840, 993 using Prime Factorization

Given Input Data is 260, 840, 993

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

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

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 260, 840, 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(260, 840) = 10920

GCD(260, 840) = ( 260 x 840 ) / 10920

GCD(260, 840) = 218400 / 10920

GCD(260, 840) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 993

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

LCM(20, 993) = 19860

GCD(20, 993) = ( 20 x 993 ) / 19860

GCD(20, 993) = 19860 / 19860

GCD(20, 993) = 1

GCD of 260, 840, 993 is 1

GCD of Numbers Calculation Examples

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FAQs on GCD of numbers 260, 840, 993

1. What is the GCD of 260, 840, 993?

GCD of 260, 840, 993 is 1

2. Where do I get the detailed procedure to find GCD of 260, 840, 993?

You can find a detailed procedure to find GCD of 260, 840, 993 on our page.

3. How to find GCD of 260, 840, 993 on a calculator?

You can find the GCD of 260, 840, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.