GCD of 265, 761, 14, 442 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 265, 761, 14, 442 i.e. 1 largest integer that divides all the numbers equally.

GCD of 265, 761, 14, 442 is 1

GCD(265, 761, 14, 442) = 1

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

GCD of

GCD of numbers 265, 761, 14, 442 is 1

GCD(265, 761, 14, 442) = 1

GCD of 265,761,14,442 Calculator

GCDof 265,761,14,442 is 1

Given Input numbers are 265, 761, 14, 442

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

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Divisors of 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 442

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

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

Greatest Common Divisior

We found the divisors of 265, 761, 14, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 265, 761, 14, 442 is 1.

Therefore, GCD of numbers 265, 761, 14, 442 is 1

Finding GCD of 265, 761, 14, 442 using Prime Factorization

Given Input Data is 265, 761, 14, 442

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

Prime Factorization of 265 is 5 x 53

Prime Factorization of 761 is 761

Prime Factorization of 14 is 2 x 7

Prime Factorization of 442 is 2 x 13 x 17

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

Finding GCD of 265, 761, 14, 442 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(265, 761) = 201665

GCD(265, 761) = ( 265 x 761 ) / 201665

GCD(265, 761) = 201665 / 201665

GCD(265, 761) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 442

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

LCM(1, 442) = 442

GCD(1, 442) = ( 1 x 442 ) / 442

GCD(1, 442) = 442 / 442

GCD(1, 442) = 1

GCD of 265, 761, 14, 442 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 265, 761, 14, 442

1. What is the GCD of 265, 761, 14, 442?

GCD of 265, 761, 14, 442 is 1


2. Where do I get the detailed procedure to find GCD of 265, 761, 14, 442?

You can find a detailed procedure to find GCD of 265, 761, 14, 442 on our page.


3. How to find GCD of 265, 761, 14, 442 on a calculator?

You can find the GCD of 265, 761, 14, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.