GCD of 424, 990, 85, 734 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 424, 990, 85, 734 i.e. 1 largest integer that divides all the numbers equally.

GCD of 424, 990, 85, 734 is 1

GCD(424, 990, 85, 734) = 1

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

GCD of

GCD of numbers 424, 990, 85, 734 is 1

GCD(424, 990, 85, 734) = 1

GCD of 424,990,85,734 Calculator

GCDof 424,990,85,734 is 1

Given Input numbers are 424, 990, 85, 734

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

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Greatest Common Divisior

We found the divisors of 424, 990, 85, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 424, 990, 85, 734 is 1.

Therefore, GCD of numbers 424, 990, 85, 734 is 1

Finding GCD of 424, 990, 85, 734 using Prime Factorization

Given Input Data is 424, 990, 85, 734

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

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 85 is 5 x 17

Prime Factorization of 734 is 2 x 367

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

Finding GCD of 424, 990, 85, 734 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(424, 990) = 209880

GCD(424, 990) = ( 424 x 990 ) / 209880

GCD(424, 990) = 419760 / 209880

GCD(424, 990) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 85

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

LCM(2, 85) = 170

GCD(2, 85) = ( 2 x 85 ) / 170

GCD(2, 85) = 170 / 170

GCD(2, 85) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 734

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

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

GCD(1, 734) = 734 / 734

GCD(1, 734) = 1

GCD of 424, 990, 85, 734 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 424, 990, 85, 734

1. What is the GCD of 424, 990, 85, 734?

GCD of 424, 990, 85, 734 is 1


2. Where do I get the detailed procedure to find GCD of 424, 990, 85, 734?

You can find a detailed procedure to find GCD of 424, 990, 85, 734 on our page.


3. How to find GCD of 424, 990, 85, 734 on a calculator?

You can find the GCD of 424, 990, 85, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.