GCD of 958, 525, 42 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 958, 525, 42 i.e. 1 largest integer that divides all the numbers equally.

GCD of 958, 525, 42 is 1

GCD(958, 525, 42) = 1

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

GCD of

GCD of numbers 958, 525, 42 is 1

GCD(958, 525, 42) = 1

GCD of 958,525,42 Calculator

GCDof 958,525,42 is 1

Given Input numbers are 958, 525, 42

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

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 42

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

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

Greatest Common Divisior

We found the divisors of 958, 525, 42 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 958, 525, 42 is 1.

Therefore, GCD of numbers 958, 525, 42 is 1

Finding GCD of 958, 525, 42 using Prime Factorization

Given Input Data is 958, 525, 42

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

Prime Factorization of 958 is 2 x 479

Prime Factorization of 525 is 3 x 5 x 5 x 7

Prime Factorization of 42 is 2 x 3 x 7

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

Finding GCD of 958, 525, 42 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(958, 525) = 502950

GCD(958, 525) = ( 958 x 525 ) / 502950

GCD(958, 525) = 502950 / 502950

GCD(958, 525) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

GCD of 958, 525, 42 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 958, 525, 42

1. What is the GCD of 958, 525, 42?

GCD of 958, 525, 42 is 1


2. Where do I get the detailed procedure to find GCD of 958, 525, 42?

You can find a detailed procedure to find GCD of 958, 525, 42 on our page.


3. How to find GCD of 958, 525, 42 on a calculator?

You can find the GCD of 958, 525, 42 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.