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GCD of 730, 580, 698, 363 Calculator

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


Online GCD Calculator is useful to find the GCD of 730, 580, 698, 363 quickly. Get the easiest ways to solve the greatest common divisor of 730, 580, 698, 363 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 730, 580, 698, 363 with Factoring?

Given Input numbers are 730, 580, 698, 363

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

Divisors of 730 :

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

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

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363


GCD of numbers is the greatest common divisor

So, the GCD (730, 580, 698, 363) = 1.

Find GCD of 730, 580, 698, 363 using Prime Factorization

Given numbers are 730, 580, 698, 363

The list of prime factors of all numbers are

Prime factors of 730 are 2 x 5 x 73

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 698 are 2 x 349

Prime factors of 363 are 3 x 11 x 11

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

Steps to Calculate GCD of 730, 580, 698, 363 using LCM Formula

Given numbers are 730, 580, 698, 363

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

Apply this formula for all numbers.

Step1:

LCM(730, 580) = 42340

GCD(730, 580) = ( 730 x 580 ) / 42340

= 730 / 580

= 730


Step2:

LCM(10, 698) = 3490

GCD(10, 698) = ( 10 x 698 ) / 3490

= 10 / 698

= 10


Step3:

LCM(2, 363) = 726

GCD(2, 363) = ( 2 x 363 ) / 726

= 2 / 363

= 2


So, Greatest Common Divisor of 730, 580, 698, 363 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 730, 580, 698, 363

Given numbers are 730, 580, 698, 363
The greatest common divisor of numbers 730, 580, 698, 363 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 730, 580, 698, 363 is 1.

FAQs on GCD of 730, 580, 698, 363 Calculator

1. What is the GCD of 730, 580, 698, 363?

GCD of given numbers 730, 580, 698, 363 is 1


2. How to calculate the greatest common divisor of 730, 580, 698, 363?

We can find the highest common divisor of 730, 580, 698, 363 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 730, 580, 698, 363 i.e 1.


3. How can I use the GCD of 730, 580, 698, 363Calculator?

Out the numbers 730, 580, 698, 363 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.