GCD of 471, 977, 17, 676 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 471, 977, 17, 676 i.e. 1 largest integer that divides all the numbers equally.

GCD of 471, 977, 17, 676 is 1

GCD(471, 977, 17, 676) = 1

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

GCD of

GCD of numbers 471, 977, 17, 676 is 1

GCD(471, 977, 17, 676) = 1

GCD of 471,977,17,676 Calculator

GCDof 471,977,17,676 is 1

Given Input numbers are 471, 977, 17, 676

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

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Greatest Common Divisior

We found the divisors of 471, 977, 17, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 471, 977, 17, 676 is 1.

Therefore, GCD of numbers 471, 977, 17, 676 is 1

Finding GCD of 471, 977, 17, 676 using Prime Factorization

Given Input Data is 471, 977, 17, 676

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

Prime Factorization of 471 is 3 x 157

Prime Factorization of 977 is 977

Prime Factorization of 17 is 17

Prime Factorization of 676 is 2 x 2 x 13 x 13

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

Finding GCD of 471, 977, 17, 676 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(471, 977) = 460167

GCD(471, 977) = ( 471 x 977 ) / 460167

GCD(471, 977) = 460167 / 460167

GCD(471, 977) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 676

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

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

GCD(1, 676) = 676 / 676

GCD(1, 676) = 1

GCD of 471, 977, 17, 676 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 471, 977, 17, 676

1. What is the GCD of 471, 977, 17, 676?

GCD of 471, 977, 17, 676 is 1


2. Where do I get the detailed procedure to find GCD of 471, 977, 17, 676?

You can find a detailed procedure to find GCD of 471, 977, 17, 676 on our page.


3. How to find GCD of 471, 977, 17, 676 on a calculator?

You can find the GCD of 471, 977, 17, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.