GCD of 42, 983, 175, 795 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, 983, 175, 795 i.e. 1 largest integer that divides all the numbers equally.

GCD of 42, 983, 175, 795 is 1

GCD(42, 983, 175, 795) = 1

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

GCD of

GCD of numbers 42, 983, 175, 795 is 1

GCD(42, 983, 175, 795) = 1

GCD of 42,983,175,795 Calculator

GCDof 42,983,175,795 is 1

Given Input numbers are 42, 983, 175, 795

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 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Divisors of 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Greatest Common Divisior

We found the divisors of 42, 983, 175, 795 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 983, 175, 795 is 1.

Therefore, GCD of numbers 42, 983, 175, 795 is 1

Finding GCD of 42, 983, 175, 795 using Prime Factorization

Given Input Data is 42, 983, 175, 795

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 983 is 983

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 795 is 3 x 5 x 53

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

Finding GCD of 42, 983, 175, 795 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, 983) = 41286

GCD(42, 983) = ( 42 x 983 ) / 41286

GCD(42, 983) = 41286 / 41286

GCD(42, 983) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 175

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

LCM(1, 175) = 175

GCD(1, 175) = ( 1 x 175 ) / 175

GCD(1, 175) = 175 / 175

GCD(1, 175) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 795

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

LCM(1, 795) = 795

GCD(1, 795) = ( 1 x 795 ) / 795

GCD(1, 795) = 795 / 795

GCD(1, 795) = 1

GCD of 42, 983, 175, 795 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 42, 983, 175, 795

1. What is the GCD of 42, 983, 175, 795?

GCD of 42, 983, 175, 795 is 1


2. Where do I get the detailed procedure to find GCD of 42, 983, 175, 795?

You can find a detailed procedure to find GCD of 42, 983, 175, 795 on our page.


3. How to find GCD of 42, 983, 175, 795 on a calculator?

You can find the GCD of 42, 983, 175, 795 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.