GCD of 81, 677, 314, 970 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 81, 677, 314, 970 i.e. 1 largest integer that divides all the numbers equally.

GCD of 81, 677, 314, 970 is 1

GCD(81, 677, 314, 970) = 1

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

GCD of

GCD of numbers 81, 677, 314, 970 is 1

GCD(81, 677, 314, 970) = 1

GCD of 81,677,314,970 Calculator

GCDof 81,677,314,970 is 1

Given Input numbers are 81, 677, 314, 970

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

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 677

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

1, 677

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Greatest Common Divisior

We found the divisors of 81, 677, 314, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 81, 677, 314, 970 is 1.

Therefore, GCD of numbers 81, 677, 314, 970 is 1

Finding GCD of 81, 677, 314, 970 using Prime Factorization

Given Input Data is 81, 677, 314, 970

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

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 677 is 677

Prime Factorization of 314 is 2 x 157

Prime Factorization of 970 is 2 x 5 x 97

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

Finding GCD of 81, 677, 314, 970 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(81, 677) = 54837

GCD(81, 677) = ( 81 x 677 ) / 54837

GCD(81, 677) = 54837 / 54837

GCD(81, 677) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 314

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

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

GCD(1, 314) = 314 / 314

GCD(1, 314) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 970

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

LCM(1, 970) = 970

GCD(1, 970) = ( 1 x 970 ) / 970

GCD(1, 970) = 970 / 970

GCD(1, 970) = 1

GCD of 81, 677, 314, 970 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 81, 677, 314, 970

1. What is the GCD of 81, 677, 314, 970?

GCD of 81, 677, 314, 970 is 1


2. Where do I get the detailed procedure to find GCD of 81, 677, 314, 970?

You can find a detailed procedure to find GCD of 81, 677, 314, 970 on our page.


3. How to find GCD of 81, 677, 314, 970 on a calculator?

You can find the GCD of 81, 677, 314, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.