GCD of 942, 988, 19, 185 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, 988, 19, 185 i.e. 1 largest integer that divides all the numbers equally.

GCD of 942, 988, 19, 185 is 1

GCD(942, 988, 19, 185) = 1

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

GCD of

GCD of numbers 942, 988, 19, 185 is 1

GCD(942, 988, 19, 185) = 1

GCD of 942,988,19,185 Calculator

GCDof 942,988,19,185 is 1

Given Input numbers are 942, 988, 19, 185

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 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Greatest Common Divisior

We found the divisors of 942, 988, 19, 185 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 942, 988, 19, 185 is 1.

Therefore, GCD of numbers 942, 988, 19, 185 is 1

Finding GCD of 942, 988, 19, 185 using Prime Factorization

Given Input Data is 942, 988, 19, 185

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 988 is 2 x 2 x 13 x 19

Prime Factorization of 19 is 19

Prime Factorization of 185 is 5 x 37

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

Finding GCD of 942, 988, 19, 185 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, 988) = 465348

GCD(942, 988) = ( 942 x 988 ) / 465348

GCD(942, 988) = 930696 / 465348

GCD(942, 988) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 19

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

LCM(2, 19) = 38

GCD(2, 19) = ( 2 x 19 ) / 38

GCD(2, 19) = 38 / 38

GCD(2, 19) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 185

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

LCM(1, 185) = 185

GCD(1, 185) = ( 1 x 185 ) / 185

GCD(1, 185) = 185 / 185

GCD(1, 185) = 1

GCD of 942, 988, 19, 185 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 942, 988, 19, 185

1. What is the GCD of 942, 988, 19, 185?

GCD of 942, 988, 19, 185 is 1


2. Where do I get the detailed procedure to find GCD of 942, 988, 19, 185?

You can find a detailed procedure to find GCD of 942, 988, 19, 185 on our page.


3. How to find GCD of 942, 988, 19, 185 on a calculator?

You can find the GCD of 942, 988, 19, 185 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.