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GCD of 484, 774, 428, 730 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 484, 774, 428, 730 quickly. Get the easiest ways to solve the greatest common divisor of 484, 774, 428, 730 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 484, 774, 428, 730 with Factoring?

Given Input numbers are 484, 774, 428, 730

In the factoring method, we have to find the divisors of all numbers

Divisors of 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

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


GCD of numbers is the greatest common divisor

So, the GCD (484, 774, 428, 730) = 2.

Find GCD of 484, 774, 428, 730 using Prime Factorization

Given numbers are 484, 774, 428, 730

The list of prime factors of all numbers are

Prime factors of 484 are 2 x 2 x 11 x 11

Prime factors of 774 are 2 x 3 x 3 x 43

Prime factors of 428 are 2 x 2 x 107

Prime factors of 730 are 2 x 5 x 73

The highest common occurrence is 21

Therefore, GCD of 484, 774, 428, 730 is 2.

Steps to Calculate GCD of 484, 774, 428, 730 using LCM Formula

Given numbers are 484, 774, 428, 730

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(484, 774) = 187308

GCD(484, 774) = ( 484 x 774 ) / 187308

= 484 / 774

= 484


Step2:

LCM(2, 428) = 428

GCD(2, 428) = ( 2 x 428 ) / 428

= 2 / 428

= 2


Step3:

LCM(2, 730) = 730

GCD(2, 730) = ( 2 x 730 ) / 730

= 2 / 730

= 2


So, Greatest Common Divisor of 484, 774, 428, 730 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 484, 774, 428, 730

Given numbers are 484, 774, 428, 730
The greatest common divisor of numbers 484, 774, 428, 730 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 484, 774, 428, 730 is 2.

FAQs on GCD of 484, 774, 428, 730 Calculator

1. What is the GCD of 484, 774, 428, 730?

GCD of given numbers 484, 774, 428, 730 is 2


2. How to calculate the greatest common divisor of 484, 774, 428, 730?

We can find the highest common divisor of 484, 774, 428, 730 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 484, 774, 428, 730 i.e 2.


3. How can I use the GCD of 484, 774, 428, 730Calculator?

Out the numbers 484, 774, 428, 730 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.