GCD of 42, 763, 981, 865 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 42, 763, 981, 865 i.e. 1 largest integer that divides all the numbers equally.

GCD of 42, 763, 981, 865 is 1

GCD(42, 763, 981, 865) = 1

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

GCD of

GCD of numbers 42, 763, 981, 865 is 1

GCD(42, 763, 981, 865) = 1

GCD of 42,763,981,865 Calculator

GCDof 42,763,981,865 is 1

Given Input numbers are 42, 763, 981, 865

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

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Divisors of 865

List of positive integer divisors of 865 that divides 865 without a remainder.

1, 5, 173, 865

Greatest Common Divisior

We found the divisors of 42, 763, 981, 865 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 763, 981, 865 is 1.

Therefore, GCD of numbers 42, 763, 981, 865 is 1

Finding GCD of 42, 763, 981, 865 using Prime Factorization

Given Input Data is 42, 763, 981, 865

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 763 is 7 x 109

Prime Factorization of 981 is 3 x 3 x 109

Prime Factorization of 865 is 5 x 173

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

Finding GCD of 42, 763, 981, 865 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(42, 763) = 4578

GCD(42, 763) = ( 42 x 763 ) / 4578

GCD(42, 763) = 32046 / 4578

GCD(42, 763) = 7


Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 981

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

LCM(7, 981) = 6867

GCD(7, 981) = ( 7 x 981 ) / 6867

GCD(7, 981) = 6867 / 6867

GCD(7, 981) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 865

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

LCM(1, 865) = 865

GCD(1, 865) = ( 1 x 865 ) / 865

GCD(1, 865) = 865 / 865

GCD(1, 865) = 1

GCD of 42, 763, 981, 865 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 42, 763, 981, 865

1. What is the GCD of 42, 763, 981, 865?

GCD of 42, 763, 981, 865 is 1


2. Where do I get the detailed procedure to find GCD of 42, 763, 981, 865?

You can find a detailed procedure to find GCD of 42, 763, 981, 865 on our page.


3. How to find GCD of 42, 763, 981, 865 on a calculator?

You can find the GCD of 42, 763, 981, 865 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.