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GCD of 734, 424, 628, 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 734, 424, 628, 730 quickly. Get the easiest ways to solve the greatest common divisor of 734, 424, 628, 730 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 734, 424, 628, 730 with Factoring?

Given Input numbers are 734, 424, 628, 730

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

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

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

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

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 (734, 424, 628, 730) = 2.

Find GCD of 734, 424, 628, 730 using Prime Factorization

Given numbers are 734, 424, 628, 730

The list of prime factors of all numbers are

Prime factors of 734 are 2 x 367

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 628 are 2 x 2 x 157

Prime factors of 730 are 2 x 5 x 73

The highest common occurrence is 21

Therefore, GCD of 734, 424, 628, 730 is 2.

Steps to Calculate GCD of 734, 424, 628, 730 using LCM Formula

Given numbers are 734, 424, 628, 730

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

Apply this formula for all numbers.

Step1:

LCM(734, 424) = 155608

GCD(734, 424) = ( 734 x 424 ) / 155608

= 734 / 424

= 734


Step2:

LCM(2, 628) = 628

GCD(2, 628) = ( 2 x 628 ) / 628

= 2 / 628

= 2


Step3:

LCM(2, 730) = 730

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

= 2 / 730

= 2


So, Greatest Common Divisor of 734, 424, 628, 730 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 734, 424, 628, 730

Given numbers are 734, 424, 628, 730
The greatest common divisor of numbers 734, 424, 628, 730 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 734, 424, 628, 730 is 2.

FAQs on GCD of 734, 424, 628, 730 Calculator

1. What is the GCD of 734, 424, 628, 730?

GCD of given numbers 734, 424, 628, 730 is 2


2. How to calculate the greatest common divisor of 734, 424, 628, 730?

We can find the highest common divisor of 734, 424, 628, 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 734, 424, 628, 730 i.e 2.


3. How can I use the GCD of 734, 424, 628, 730Calculator?

Out the numbers 734, 424, 628, 730 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.