GCD of 982, 760, 26, 677 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 982, 760, 26, 677 i.e. 1 largest integer that divides all the numbers equally.

GCD of 982, 760, 26, 677 is 1

GCD(982, 760, 26, 677) = 1

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

GCD of

GCD of numbers 982, 760, 26, 677 is 1

GCD(982, 760, 26, 677) = 1

GCD of 982,760,26,677 Calculator

GCDof 982,760,26,677 is 1

Given Input numbers are 982, 760, 26, 677

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

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Greatest Common Divisior

We found the divisors of 982, 760, 26, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 982, 760, 26, 677 is 1.

Therefore, GCD of numbers 982, 760, 26, 677 is 1

Finding GCD of 982, 760, 26, 677 using Prime Factorization

Given Input Data is 982, 760, 26, 677

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

Prime Factorization of 982 is 2 x 491

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 26 is 2 x 13

Prime Factorization of 677 is 677

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

Finding GCD of 982, 760, 26, 677 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(982, 760) = 373160

GCD(982, 760) = ( 982 x 760 ) / 373160

GCD(982, 760) = 746320 / 373160

GCD(982, 760) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 26

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

LCM(2, 26) = 26

GCD(2, 26) = ( 2 x 26 ) / 26

GCD(2, 26) = 52 / 26

GCD(2, 26) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 677

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

LCM(2, 677) = 1354

GCD(2, 677) = ( 2 x 677 ) / 1354

GCD(2, 677) = 1354 / 1354

GCD(2, 677) = 1

GCD of 982, 760, 26, 677 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 982, 760, 26, 677

1. What is the GCD of 982, 760, 26, 677?

GCD of 982, 760, 26, 677 is 1


2. Where do I get the detailed procedure to find GCD of 982, 760, 26, 677?

You can find a detailed procedure to find GCD of 982, 760, 26, 677 on our page.


3. How to find GCD of 982, 760, 26, 677 on a calculator?

You can find the GCD of 982, 760, 26, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.