GCD of 493, 980, 83, 780 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 493, 980, 83, 780 i.e. 1 largest integer that divides all the numbers equally.

GCD of 493, 980, 83, 780 is 1

GCD(493, 980, 83, 780) = 1

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

GCD of

GCD of numbers 493, 980, 83, 780 is 1

GCD(493, 980, 83, 780) = 1

GCD of 493,980,83,780 Calculator

GCDof 493,980,83,780 is 1

Given Input numbers are 493, 980, 83, 780

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

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Greatest Common Divisior

We found the divisors of 493, 980, 83, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 493, 980, 83, 780 is 1.

Therefore, GCD of numbers 493, 980, 83, 780 is 1

Finding GCD of 493, 980, 83, 780 using Prime Factorization

Given Input Data is 493, 980, 83, 780

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

Prime Factorization of 493 is 17 x 29

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 83 is 83

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

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

Finding GCD of 493, 980, 83, 780 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(493, 980) = 483140

GCD(493, 980) = ( 493 x 980 ) / 483140

GCD(493, 980) = 483140 / 483140

GCD(493, 980) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 83

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

LCM(1, 83) = 83

GCD(1, 83) = ( 1 x 83 ) / 83

GCD(1, 83) = 83 / 83

GCD(1, 83) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 780

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

LCM(1, 780) = 780

GCD(1, 780) = ( 1 x 780 ) / 780

GCD(1, 780) = 780 / 780

GCD(1, 780) = 1

GCD of 493, 980, 83, 780 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 493, 980, 83, 780

1. What is the GCD of 493, 980, 83, 780?

GCD of 493, 980, 83, 780 is 1


2. Where do I get the detailed procedure to find GCD of 493, 980, 83, 780?

You can find a detailed procedure to find GCD of 493, 980, 83, 780 on our page.


3. How to find GCD of 493, 980, 83, 780 on a calculator?

You can find the GCD of 493, 980, 83, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.