GCD of 82, 636, 577, 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 82, 636, 577, 677 i.e. 1 largest integer that divides all the numbers equally.

GCD of 82, 636, 577, 677 is 1

GCD(82, 636, 577, 677) = 1

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

GCD of

GCD of numbers 82, 636, 577, 677 is 1

GCD(82, 636, 577, 677) = 1

GCD of 82,636,577,677 Calculator

GCDof 82,636,577,677 is 1

Given Input numbers are 82, 636, 577, 677

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

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

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 82, 636, 577, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 636, 577, 677 is 1.

Therefore, GCD of numbers 82, 636, 577, 677 is 1

Finding GCD of 82, 636, 577, 677 using Prime Factorization

Given Input Data is 82, 636, 577, 677

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 636 is 2 x 2 x 3 x 53

Prime Factorization of 577 is 577

Prime Factorization of 677 is 677

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

Finding GCD of 82, 636, 577, 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(82, 636) = 26076

GCD(82, 636) = ( 82 x 636 ) / 26076

GCD(82, 636) = 52152 / 26076

GCD(82, 636) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 577

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

LCM(2, 577) = 1154

GCD(2, 577) = ( 2 x 577 ) / 1154

GCD(2, 577) = 1154 / 1154

GCD(2, 577) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 677

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

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

GCD(1, 677) = 677 / 677

GCD(1, 677) = 1

GCD of 82, 636, 577, 677 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 82, 636, 577, 677

1. What is the GCD of 82, 636, 577, 677?

GCD of 82, 636, 577, 677 is 1


2. Where do I get the detailed procedure to find GCD of 82, 636, 577, 677?

You can find a detailed procedure to find GCD of 82, 636, 577, 677 on our page.


3. How to find GCD of 82, 636, 577, 677 on a calculator?

You can find the GCD of 82, 636, 577, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.