GCD of 746, 383, 69, 724 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 746, 383, 69, 724 i.e. 1 largest integer that divides all the numbers equally.

GCD of 746, 383, 69, 724 is 1

GCD(746, 383, 69, 724) = 1

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

GCD of

GCD of numbers 746, 383, 69, 724 is 1

GCD(746, 383, 69, 724) = 1

GCD of 746,383,69,724 Calculator

GCDof 746,383,69,724 is 1

Given Input numbers are 746, 383, 69, 724

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

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 383

List of positive integer divisors of 383 that divides 383 without a remainder.

1, 383

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 724

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

1, 2, 4, 181, 362, 724

Greatest Common Divisior

We found the divisors of 746, 383, 69, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 746, 383, 69, 724 is 1.

Therefore, GCD of numbers 746, 383, 69, 724 is 1

Finding GCD of 746, 383, 69, 724 using Prime Factorization

Given Input Data is 746, 383, 69, 724

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

Prime Factorization of 746 is 2 x 373

Prime Factorization of 383 is 383

Prime Factorization of 69 is 3 x 23

Prime Factorization of 724 is 2 x 2 x 181

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

Finding GCD of 746, 383, 69, 724 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(746, 383) = 285718

GCD(746, 383) = ( 746 x 383 ) / 285718

GCD(746, 383) = 285718 / 285718

GCD(746, 383) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 724

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

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

GCD(1, 724) = 724 / 724

GCD(1, 724) = 1

GCD of 746, 383, 69, 724 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 746, 383, 69, 724

1. What is the GCD of 746, 383, 69, 724?

GCD of 746, 383, 69, 724 is 1


2. Where do I get the detailed procedure to find GCD of 746, 383, 69, 724?

You can find a detailed procedure to find GCD of 746, 383, 69, 724 on our page.


3. How to find GCD of 746, 383, 69, 724 on a calculator?

You can find the GCD of 746, 383, 69, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.