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GCD of 730, 190, 440 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, 190, 440 quickly. Get the easiest ways to solve the greatest common divisor of 730, 190, 440 i.e 10 in different methods as follows.

GCD of

How to Find GCD of Numbers 730, 190, 440 with Factoring?

Given Input numbers are 730, 190, 440

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 190 :

The positive integer divisors of 190 that completely divides 190 are.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440


GCD of numbers is the greatest common divisor

So, the GCD (730, 190, 440) = 10.

Find GCD of 730, 190, 440 using Prime Factorization

Given numbers are 730, 190, 440

The list of prime factors of all numbers are

Prime factors of 730 are 2 x 5 x 73

Prime factors of 190 are 2 x 5 x 19

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

The highest common occurrence is 21 x 51

Therefore, GCD of 730, 190, 440 is 10.

Steps to Calculate GCD of 730, 190, 440 using LCM Formula

Given numbers are 730, 190, 440

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

Apply this formula for all numbers.

Step1:

LCM(730, 190) = 13870

GCD(730, 190) = ( 730 x 190 ) / 13870

= 730 / 190

= 730


Step2:

LCM(10, 440) = 440

GCD(10, 440) = ( 10 x 440 ) / 440

= 10 / 440

= 10


So, Greatest Common Divisor of 730, 190, 440 is 10

GCD of Numbers Calculation Examples

Greatest Common Divisor of 730, 190, 440

Given numbers are 730, 190, 440
The greatest common divisor of numbers 730, 190, 440 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 730, 190, 440 is 10.

FAQs on GCD of 730, 190, 440 Calculator

1. What is the GCD of 730, 190, 440?

GCD of given numbers 730, 190, 440 is 10


2. How to calculate the greatest common divisor of 730, 190, 440?

We can find the highest common divisor of 730, 190, 440 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, 190, 440 i.e 10.


3. How can I use the GCD of 730, 190, 440Calculator?

Out the numbers 730, 190, 440 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.