GCD of 470, 677, 31, 379 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 470, 677, 31, 379 i.e. 1 largest integer that divides all the numbers equally.

GCD of 470, 677, 31, 379 is 1

GCD(470, 677, 31, 379) = 1

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

GCD of

GCD of numbers 470, 677, 31, 379 is 1

GCD(470, 677, 31, 379) = 1

GCD of 470,677,31,379 Calculator

GCDof 470,677,31,379 is 1

Given Input numbers are 470, 677, 31, 379

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

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 677

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

1, 677

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 379

List of positive integer divisors of 379 that divides 379 without a remainder.

1, 379

Greatest Common Divisior

We found the divisors of 470, 677, 31, 379 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 677, 31, 379 is 1.

Therefore, GCD of numbers 470, 677, 31, 379 is 1

Finding GCD of 470, 677, 31, 379 using Prime Factorization

Given Input Data is 470, 677, 31, 379

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

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 677 is 677

Prime Factorization of 31 is 31

Prime Factorization of 379 is 379

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

Finding GCD of 470, 677, 31, 379 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(470, 677) = 318190

GCD(470, 677) = ( 470 x 677 ) / 318190

GCD(470, 677) = 318190 / 318190

GCD(470, 677) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 379

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

LCM(1, 379) = 379

GCD(1, 379) = ( 1 x 379 ) / 379

GCD(1, 379) = 379 / 379

GCD(1, 379) = 1

GCD of 470, 677, 31, 379 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 470, 677, 31, 379

1. What is the GCD of 470, 677, 31, 379?

GCD of 470, 677, 31, 379 is 1


2. Where do I get the detailed procedure to find GCD of 470, 677, 31, 379?

You can find a detailed procedure to find GCD of 470, 677, 31, 379 on our page.


3. How to find GCD of 470, 677, 31, 379 on a calculator?

You can find the GCD of 470, 677, 31, 379 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.