GCD of 231, 677, 845, 749 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 231, 677, 845, 749 i.e. 1 largest integer that divides all the numbers equally.

GCD of 231, 677, 845, 749 is 1

GCD(231, 677, 845, 749) = 1

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

GCD of

GCD of numbers 231, 677, 845, 749 is 1

GCD(231, 677, 845, 749) = 1

GCD of 231,677,845,749 Calculator

GCDof 231,677,845,749 is 1

Given Input numbers are 231, 677, 845, 749

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

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 677

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

1, 677

Divisors of 845

List of positive integer divisors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 231, 677, 845, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 677, 845, 749 is 1.

Therefore, GCD of numbers 231, 677, 845, 749 is 1

Finding GCD of 231, 677, 845, 749 using Prime Factorization

Given Input Data is 231, 677, 845, 749

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

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 677 is 677

Prime Factorization of 845 is 5 x 13 x 13

Prime Factorization of 749 is 7 x 107

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

Finding GCD of 231, 677, 845, 749 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(231, 677) = 156387

GCD(231, 677) = ( 231 x 677 ) / 156387

GCD(231, 677) = 156387 / 156387

GCD(231, 677) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 845

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

LCM(1, 845) = 845

GCD(1, 845) = ( 1 x 845 ) / 845

GCD(1, 845) = 845 / 845

GCD(1, 845) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 749

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

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

GCD(1, 749) = 749 / 749

GCD(1, 749) = 1

GCD of 231, 677, 845, 749 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 231, 677, 845, 749

1. What is the GCD of 231, 677, 845, 749?

GCD of 231, 677, 845, 749 is 1


2. Where do I get the detailed procedure to find GCD of 231, 677, 845, 749?

You can find a detailed procedure to find GCD of 231, 677, 845, 749 on our page.


3. How to find GCD of 231, 677, 845, 749 on a calculator?

You can find the GCD of 231, 677, 845, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.