GCD of 442, 748, 26, 467 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 442, 748, 26, 467 i.e. 1 largest integer that divides all the numbers equally.

GCD of 442, 748, 26, 467 is 1

GCD(442, 748, 26, 467) = 1

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

GCD of

GCD of numbers 442, 748, 26, 467 is 1

GCD(442, 748, 26, 467) = 1

GCD of 442,748,26,467 Calculator

GCDof 442,748,26,467 is 1

Given Input numbers are 442, 748, 26, 467

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

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 467

List of positive integer divisors of 467 that divides 467 without a remainder.

1, 467

Greatest Common Divisior

We found the divisors of 442, 748, 26, 467 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 442, 748, 26, 467 is 1.

Therefore, GCD of numbers 442, 748, 26, 467 is 1

Finding GCD of 442, 748, 26, 467 using Prime Factorization

Given Input Data is 442, 748, 26, 467

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

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 26 is 2 x 13

Prime Factorization of 467 is 467

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

Finding GCD of 442, 748, 26, 467 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(442, 748) = 9724

GCD(442, 748) = ( 442 x 748 ) / 9724

GCD(442, 748) = 330616 / 9724

GCD(442, 748) = 34


Step2:

Here we consider the GCD from the above i.e. 34 as first number and the next as 26

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

LCM(34, 26) = 442

GCD(34, 26) = ( 34 x 26 ) / 442

GCD(34, 26) = 884 / 442

GCD(34, 26) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 467

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

LCM(2, 467) = 934

GCD(2, 467) = ( 2 x 467 ) / 934

GCD(2, 467) = 934 / 934

GCD(2, 467) = 1

GCD of 442, 748, 26, 467 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 442, 748, 26, 467

1. What is the GCD of 442, 748, 26, 467?

GCD of 442, 748, 26, 467 is 1


2. Where do I get the detailed procedure to find GCD of 442, 748, 26, 467?

You can find a detailed procedure to find GCD of 442, 748, 26, 467 on our page.


3. How to find GCD of 442, 748, 26, 467 on a calculator?

You can find the GCD of 442, 748, 26, 467 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.