GCD of 942, 242, 99, 716 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 942, 242, 99, 716 i.e. 1 largest integer that divides all the numbers equally.

GCD of 942, 242, 99, 716 is 1

GCD(942, 242, 99, 716) = 1

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

GCD of

GCD of numbers 942, 242, 99, 716 is 1

GCD(942, 242, 99, 716) = 1

GCD of 942,242,99,716 Calculator

GCDof 942,242,99,716 is 1

Given Input numbers are 942, 242, 99, 716

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

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Greatest Common Divisior

We found the divisors of 942, 242, 99, 716 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 942, 242, 99, 716 is 1.

Therefore, GCD of numbers 942, 242, 99, 716 is 1

Finding GCD of 942, 242, 99, 716 using Prime Factorization

Given Input Data is 942, 242, 99, 716

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

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 716 is 2 x 2 x 179

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

Finding GCD of 942, 242, 99, 716 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(942, 242) = 113982

GCD(942, 242) = ( 942 x 242 ) / 113982

GCD(942, 242) = 227964 / 113982

GCD(942, 242) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 99

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

LCM(2, 99) = 198

GCD(2, 99) = ( 2 x 99 ) / 198

GCD(2, 99) = 198 / 198

GCD(2, 99) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 716

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

LCM(1, 716) = 716

GCD(1, 716) = ( 1 x 716 ) / 716

GCD(1, 716) = 716 / 716

GCD(1, 716) = 1

GCD of 942, 242, 99, 716 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 942, 242, 99, 716

1. What is the GCD of 942, 242, 99, 716?

GCD of 942, 242, 99, 716 is 1


2. Where do I get the detailed procedure to find GCD of 942, 242, 99, 716?

You can find a detailed procedure to find GCD of 942, 242, 99, 716 on our page.


3. How to find GCD of 942, 242, 99, 716 on a calculator?

You can find the GCD of 942, 242, 99, 716 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.