GCD of 112, 677, 775, 324 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 112, 677, 775, 324 i.e. 1 largest integer that divides all the numbers equally.

GCD of 112, 677, 775, 324 is 1

GCD(112, 677, 775, 324) = 1

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

GCD of

GCD of numbers 112, 677, 775, 324 is 1

GCD(112, 677, 775, 324) = 1

GCD of 112,677,775,324 Calculator

GCDof 112,677,775,324 is 1

Given Input numbers are 112, 677, 775, 324

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

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 677

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

1, 677

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Greatest Common Divisior

We found the divisors of 112, 677, 775, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 677, 775, 324 is 1.

Therefore, GCD of numbers 112, 677, 775, 324 is 1

Finding GCD of 112, 677, 775, 324 using Prime Factorization

Given Input Data is 112, 677, 775, 324

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

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 677 is 677

Prime Factorization of 775 is 5 x 5 x 31

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

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

Finding GCD of 112, 677, 775, 324 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(112, 677) = 75824

GCD(112, 677) = ( 112 x 677 ) / 75824

GCD(112, 677) = 75824 / 75824

GCD(112, 677) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 775

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

LCM(1, 775) = 775

GCD(1, 775) = ( 1 x 775 ) / 775

GCD(1, 775) = 775 / 775

GCD(1, 775) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 324

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

LCM(1, 324) = 324

GCD(1, 324) = ( 1 x 324 ) / 324

GCD(1, 324) = 324 / 324

GCD(1, 324) = 1

GCD of 112, 677, 775, 324 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 112, 677, 775, 324

1. What is the GCD of 112, 677, 775, 324?

GCD of 112, 677, 775, 324 is 1


2. Where do I get the detailed procedure to find GCD of 112, 677, 775, 324?

You can find a detailed procedure to find GCD of 112, 677, 775, 324 on our page.


3. How to find GCD of 112, 677, 775, 324 on a calculator?

You can find the GCD of 112, 677, 775, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.