GCD of 724, 932, 89, 385 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 724, 932, 89, 385 i.e. 1 largest integer that divides all the numbers equally.

GCD of 724, 932, 89, 385 is 1

GCD(724, 932, 89, 385) = 1

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

GCD of

GCD of numbers 724, 932, 89, 385 is 1

GCD(724, 932, 89, 385) = 1

GCD of 724,932,89,385 Calculator

GCDof 724,932,89,385 is 1

Given Input numbers are 724, 932, 89, 385

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

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 932

List of positive integer divisors of 932 that divides 932 without a remainder.

1, 2, 4, 233, 466, 932

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Greatest Common Divisior

We found the divisors of 724, 932, 89, 385 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 932, 89, 385 is 1.

Therefore, GCD of numbers 724, 932, 89, 385 is 1

Finding GCD of 724, 932, 89, 385 using Prime Factorization

Given Input Data is 724, 932, 89, 385

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

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 932 is 2 x 2 x 233

Prime Factorization of 89 is 89

Prime Factorization of 385 is 5 x 7 x 11

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

Finding GCD of 724, 932, 89, 385 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(724, 932) = 168692

GCD(724, 932) = ( 724 x 932 ) / 168692

GCD(724, 932) = 674768 / 168692

GCD(724, 932) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 89

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

LCM(4, 89) = 356

GCD(4, 89) = ( 4 x 89 ) / 356

GCD(4, 89) = 356 / 356

GCD(4, 89) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 385

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

LCM(1, 385) = 385

GCD(1, 385) = ( 1 x 385 ) / 385

GCD(1, 385) = 385 / 385

GCD(1, 385) = 1

GCD of 724, 932, 89, 385 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 724, 932, 89, 385

1. What is the GCD of 724, 932, 89, 385?

GCD of 724, 932, 89, 385 is 1


2. Where do I get the detailed procedure to find GCD of 724, 932, 89, 385?

You can find a detailed procedure to find GCD of 724, 932, 89, 385 on our page.


3. How to find GCD of 724, 932, 89, 385 on a calculator?

You can find the GCD of 724, 932, 89, 385 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.