GCD of 730, 148, 84, 426 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 730, 148, 84, 426 i.e. 2 largest integer that divides all the numbers equally.

GCD of 730, 148, 84, 426 is 2

GCD(730, 148, 84, 426) = 2

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

GCD of

GCD of numbers 730, 148, 84, 426 is 2

GCD(730, 148, 84, 426) = 2

GCD of 730,148,84,426 Calculator

GCDof 730,148,84,426 is 2

Given Input numbers are 730, 148, 84, 426

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

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Greatest Common Divisior

We found the divisors of 730, 148, 84, 426 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 148, 84, 426 is 2.

Therefore, GCD of numbers 730, 148, 84, 426 is 2

Finding GCD of 730, 148, 84, 426 using Prime Factorization

Given Input Data is 730, 148, 84, 426

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

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 426 is 2 x 3 x 71

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 730, 148, 84, 426 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(730, 148) = 54020

GCD(730, 148) = ( 730 x 148 ) / 54020

GCD(730, 148) = 108040 / 54020

GCD(730, 148) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 84

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

LCM(2, 84) = 84

GCD(2, 84) = ( 2 x 84 ) / 84

GCD(2, 84) = 168 / 84

GCD(2, 84) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 426

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

LCM(2, 426) = 426

GCD(2, 426) = ( 2 x 426 ) / 426

GCD(2, 426) = 852 / 426

GCD(2, 426) = 2

GCD of 730, 148, 84, 426 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 730, 148, 84, 426

1. What is the GCD of 730, 148, 84, 426?

GCD of 730, 148, 84, 426 is 2


2. Where do I get the detailed procedure to find GCD of 730, 148, 84, 426?

You can find a detailed procedure to find GCD of 730, 148, 84, 426 on our page.


3. How to find GCD of 730, 148, 84, 426 on a calculator?

You can find the GCD of 730, 148, 84, 426 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.